
And the answer is the main diagonal remains one.

This expresses the effect that in the absence of any velocity,

we expect the xcoordinate and the ycoordinate not to change.

We also don't expect the velocities to change.

But the xvelocity will impact the xposition through a 0.1 over here.

The third coordinate is the velocity, and it affects the first coordinate.

The same over here. All the other values should be zero.

So this is the 4dimensionalization

of this 2dimensional statetransition matrix over here.