00:01
All right, so we're looking to see if multiplying, you can switch the order of matrix multiplication for square matrices and if it'll be the same expression.
00:11
So we're seeing if matrix a times matrix b is the same as matrix b times matrix a.
00:17
We're just going to test this out with some random matrices that i threw together.
00:23
So we'll follow through with the matrix multiplication for each.
00:26
We're going to start with the first row of matrix a, and that goes with the first column matrix b.
00:35
So we're doing 1 times 3 is 3, and then 2 times 1 is 2.
00:45
3 plus 2 is 5.
00:48
So we have a 5 in the upper left -hand corner.
00:52
Now we're staying in the first row of column a, except now we're going to be going to be second.
01:00
Column of matrix b.
01:06
So again, we have one times three, and again, we have two times three.
01:16
Sorry, not two times three, two times one...