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Introduction to the Null Space of a Matrix

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    This should be fun
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    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
  • 0:01 - 0:04
    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
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    Lets not review our notions of subspaces again
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    Your notions of subspaces are completely wrong
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    Your notions of subspaces are completely wrong
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    Your notions of subspaces are completely wrong
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    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
  • 0:04 - 0:06
    Your notions of subspaces are completely wrong
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    Your notions of subspaces are completely wrong
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    Your notions of subspaces are completely wrong
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
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    so i need to teach you how to do it again if i feel like it
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    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
  • 0:06 - 0:09
    so i need to teach you how to do it again if i feel like it
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    so i need to teach you how to do it again if i feel like it
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    so i need to teach you how to do it again if i feel like it
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    Darn, i think i have misplaced my subspace
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    Darn, i think i have misplaced my subspace
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    Darn, i think i have misplaced my subspace
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    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
  • 0:09 - 0:16
    Darn, i think i have misplaced my subspace
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    Darn, i think i have misplaced my subspace
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    Darn, i think i have misplaced my subspace
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    I will call the one subspace i lost subspace a
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    I will call the one subspace i lost subspace a
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    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
  • 0:16 - 0:18
    I will call the one subspace i lost subspace a
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    the next one will be subspace s
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    the next one will be subspace s
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    the next one will be subspace s
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    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
  • 0:18 - 0:21
    the next one will be subspace s
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    and the last one will be subspace S
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    and the last one will be subspace S
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    and the last one will be subspace S
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    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
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    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
  • 0:21 - 0:26
    and the last one will be subspace S
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    and the last one will be subspace S
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    and the last one will be subspace S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
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    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:26 - 0:28
    so now i have subspaces a-s-S
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:28 - 0:30
    I don't feel like typing anymore
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:30 - 0:37
    Peace out suckers!
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
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    my
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    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
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    my
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    my
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    my
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    my
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    my
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    my
  • 0:37 - 0:43
    my
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    my
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    my
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    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
  • 0:37 - 0:43
    my
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    my
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    my
  • 0:37 - 0:43
    my
  • 0:43 - 0:46
    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
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    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
  • 0:43 - 0:46
    subspaces
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    subspaces
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    subspaces
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
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    ass
  • 0:46 - 0:47
    ass
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    ass
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    ass
  • 0:46 - 0:47
    ass
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    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:46 - 0:47
    ass
  • 0:47 - 0:49
    are
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    are
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    are
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    are
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    are
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    are
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    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
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    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
  • 0:47 - 0:49
    are
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    amazing
  • 0:49 - 0:50
    amazing
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    amazing
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    amazing
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    amazing
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    amazing
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    amazing
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    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
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    amazing
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    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
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    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:49 - 0:50
    amazing
  • 0:50 - 0:53
    and
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:50 - 0:53
    and
    18
    00:00:
  • 0:53 - 0:55
    this site
  • 0:55 - 1:00
    won't
  • 1:00 - 1:05
    let
  • 1:05 - 1:10
    me
  • 1:10 - 1:13
    save
  • 1:13 - 1:14
    my
  • 1:14 - 1:16
    translation
  • 1:16 - 1:18
    until
  • 1:18 - 1:20
    i
  • 1:20 - 1:21
    translate
  • 1:21 - 1:23
    for
  • 1:23 - 1:25
    everything
  • 1:25 - 1:29
    she
  • 1:29 - 1:34
    says.
  • 1:34 - 1:38
    this
  • 1:38 - 1:41
    is
  • 1:41 - 1:44
    getting
  • 1:44 - 1:47
    really
  • 1:47 - 1:48
    annoying
  • 1:48 - 1:50
    even
  • 1:50 - 2:00
    though
  • 2:00 - 2:02
    i
  • 2:02 - 2:04
    am
  • 2:04 - 2:07
    a
  • 2:07 - 2:09
    really
  • 2:09 - 2:11
    quick
  • 2:11 - 2:16
    typist.
  • 2:16 - 2:20
    I
  • 2:20 - 2:24
    almost
  • 2:24 - 2:25
    wish
  • 2:25 - 2:31
    i
  • 2:31 - 2:35
    didn't
  • 2:35 - 2:39
    start
  • 2:39 - 2:43
    this
  • 2:43 - 2:45
    translation.
  • 2:45 - 2:48
    now,
  • 2:48 - 2:54
    back
  • 2:54 - 2:58
    to
  • 2:58 - 3:01
    my
  • 3:01 - 3:05
    subspace,
  • 3:05 - 3:08
    i
  • 3:08 - 3:10
    need
  • 3:10 - 3:13
    to
  • 3:13 - 3:20
    change
  • 3:20 - 3:23
    it
  • 3:23 - 3:28
    to
  • 3:28 - 3:29
    subspaces
  • 3:29 - 3:32
    b-i-t
  • 3:32 - 3:34
    and
  • 3:34 - 3:35
    add
  • 3:35 - 3:37
    subspaces
  • 3:37 - 3:39
    c
  • 3:39 - 3:46
    and
  • 3:46 - 3:49
    h.
  • 3:49 - 3:53
    so
  • 3:53 - 3:54
    now
  • 3:54 - 3:56
    i
  • 3:56 - 3:59
    have
  • 3:59 - 4:02
    subspaces
  • 4:02 - 4:04
    b-i-t-c-h.
  • 4:04 - 4:07
    YAY!
  • 4:07 - 4:10
    i
  • 4:10 - 4:11
    am
  • 4:11 - 4:14
    almost
  • 4:14 - 4:16
    halfway
  • 4:16 - 4:16
    through
  • 4:16 - 4:17
    this
  • 4:17 - 4:19
    stupid
  • 4:19 - 4:20
    translation!
  • 4:20 - 4:22
    Perhaps
  • 4:22 - 4:26
    i
  • 4:26 - 4:28
    should
  • 4:28 - 4:30
    save
  • 4:30 - 4:32
    this
  • 4:32 - 4:33
    and
  • 4:33 - 4:34
    come
  • 4:34 - 4:37
    back
  • 4:37 - 4:40
    to
  • 4:40 - 4:44
    it
  • 4:44 - 4:48
    later.
  • 4:48 - 4:50
    i
  • 4:50 - 4:53
    will
  • 4:53 - 4:55
    see
  • 4:55 - 4:55
    you
  • 4:55 - 4:58
    tommorrow!
  • 4:58 - 5:01
    it
  • 5:01 - 5:05
    is
  • 5:05 - 5:07
    tommorrow
  • 5:07 - 5:08
    and
  • 5:08 - 5:11
    i
  • 5:11 - 5:12
    still
  • 5:12 - 5:15
    dont
  • 5:15 - 5:17
    want
  • 5:17 - 5:22
    to
  • 5:22 - 5:22
    do
  • 5:22 - 5:25
    this.
  • 5:25 - 5:30
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:30 - 5:32
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:32 - 5:37
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:37 - 5:39
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:39 - 5:46
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:46 - 5:49
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:49 - 5:50
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:50 - 5:52
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:52 - 5:57
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:57 - 5:58
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 5:58 - 6:00
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:00 - 6:01
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:01 - 6:03
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:03 - 6:07
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:07 - 6:10
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:10 - 6:18
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:18 - 6:22
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:22 - 6:24
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:24 - 6:25
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:25 - 6:28
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:28 - 6:29
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:29 - 6:30
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:30 - 6:32
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:32 - 6:34
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:34 - 6:37
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:37 - 6:40
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:40 - 6:43
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:43 - 6:44
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:44 - 6:45
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:45 - 6:49
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:49 - 6:51
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:51 - 6:53
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:53 - 6:55
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:55 - 6:59
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 6:59 - 7:02
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 7:02 - 7:06
    v
  • 7:06 - 7:10
    1
    00:00:00,000 --> 00:00:00,620
    This should be fun
  • 7:10 - 7:11
    v
  • 7:11 - 7:13
    v
  • 7:13 - 7:15
    v
  • 7:15 - 7:18
    v
  • 7:18 - 7:25
    v
  • 7:25 - 7:31
    v
  • 7:31 - 7:34
    v
  • 7:34 - 7:35
    v
  • 7:35 - 7:42
    v
  • 7:42 - 7:44
    v
  • 7:44 - 7:51
    v
  • 7:51 - 7:53
    v
  • 7:53 - 7:54
    v
  • 7:54 - 7:59
    v
  • 7:59 - 8:01
    v
  • 8:01 - 8:03
    v
  • 8:03 - 8:05
    v
  • 8:05 - 8:07
    v
  • 8:07 - 8:08
    v
  • 8:08 - 8:11
    v
  • 8:11 - 8:13
    v
  • 8:13 - 8:17
    v
  • 8:17 - 8:19
    v
  • 8:19 - 8:24
    v
  • 8:24 - 8:26
    v
  • 8:26 - 8:27
    v
  • 8:27 - 8:31
    v
  • 8:31 - 8:36
    v
  • 8:36 - 8:38
    v
  • 8:38 - 8:40
    v
  • 8:40 - 8:43
    v
  • 8:43 - 8:44
    v
  • 8:44 - 8:46
    v
  • 8:46 - 8:47
    v
  • 8:47 - 8:49
    v
  • 8:49 - 8:56
    v
  • 8:56 - 9:00
    v
  • 9:00 - 9:02
    v
  • 9:02 - 9:06
    v
  • 9:06 - 9:09
    v
  • 9:09 - 9:11
    v
  • 9:11 - 9:13
    v
  • 9:13 - 9:15
    v
  • 9:15 - 9:18
    v
  • 9:18 - 9:20
    v
  • 9:20 - 9:23
    v
  • 9:23 - 9:25
    v
  • 9:25 - 9:27
    v
  • 9:27 - 9:28
    v
  • 9:28 - 9:30
    v
  • 9:30 - 9:31
    v
  • 9:31 - 9:33
    v
  • 9:33 - 9:46
    v
  • 9:46 - 9:50
    v
  • 9:50 - 9:50
    v
  • 9:50 - 9:53
    v
  • 9:53 - 9:58
    v
  • 9:58 - 9:59
    v
  • 9:59 - 10:01
    v
  • 10:01 - 10:04
    v
  • 10:04 - 10:08
    v
  • 10:08 - 10:10
    v
  • 10:10 - 10:16
    v
  • 10:16 - 10:20
    v
  • 10:20 - 10:23
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  • 10:23 - 10:23
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Title:
Introduction to the Null Space of a Matrix
Description:
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Video Language:
English
Team:
Khan Academy
Duration:
10:23

Spanish subtitles

Revisions

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