00:01
This question we're going to be focusing on matrix transformation.
00:03
So we want to determine the single matrix that represents a sequence of consecutive transformations.
00:09
So the first transformation that we are looking at, or the first set, we are looking at an anticlobwise rotation through theta about the x -axis, followed by a reflection on the xy plane, and then followed by an anti -globwise rotation through 5 about the x -axis.
00:29
So look at looking at the information that we have.
00:32
For the first part, what we have right here is a being equal to cos -fi negative, sine phi -0, sign -fi, fi, cos -fi -0, 0 -0 -0 -0 -0, and we multiply this by the identity matrix, not necessarily the identity matrix, but 1 ,0 -0 -0.
01:03
0 -0 -1 -0 -0 -0 -0 -0 -0 -0 -negative 1.
01:08
We are looking at this c, this is part b, and we've got a right here, where we have 1 -0 -0 -0 -cost -theta negative -sign -theta.
01:23
And then we've got 0 -s -s -theta.
01:28
So this is the first transformation that we've been given.
01:33
So this is a, b, and c transformations.
01:36
Now, if we simplify this, we're going to have an a that is equal to cost -fi -negative, sine -fi, 0, sine -fi -cose -fi, 0 -0 -0 -negative.
01:55
This is actually 0 -1...