WEBVTT 00:00:01.459 --> 00:00:06.399 As a hint, I'll take the determinant of a very similar two by two matrix. 00:00:06.399 --> 00:00:10.514 So we wanna figure out the determinant of this matrix and we can denote it 00:00:10.514 --> 00:00:13.371 by the determinant of the 2x2 matrix five, 00:00:13.371 --> 00:00:17.642 three,negative one and four 00:00:17.642 --> 00:00:21.892 and the definition of determinant of the 2x2 matrix like this, as we can first take 00:00:21.892 --> 00:00:24.888 this diagonal, five times four 00:00:24.888 --> 00:00:29.532 so write it down, just going to be equal to 00:00:29.532 --> 00:00:35.777 5 * 4 minus of product of that diagonal 00:00:45.792 --> 00:00:46.721 ...so what is this 00:00:46.721 --> 00:00:50.347 give us? So, five times four is twenty 00:00:50.347 --> 00:00:55.362 and then three times negative one will be negative three 00:00:55.362 --> 00:00:57.521 this is negative three... 00:00:57.521 --> 00:01:01.771 but making negative the negative three will make the positive three 00:01:02.969 --> 00:01:08.397 so the determinant of this matrix is twenty three.