00:01
Okay, so we have these two matrices a and b, and we want to find the product, a, b.
00:08
So this is well defined.
00:10
So the first entry here, we need to look at the first row and the first column of b.
00:15
So the first row of a, the first column of b, and multiply these eight.
00:19
So we get three times two plus zero times minus three.
00:22
So this is just three times two, which is six.
00:26
The second entry here, we need to look at the first row of a again, but now the second column of b.
00:31
So we get 3 times 4 plus 0 times minus 5, which is just 12.
00:38
Finally, for this entry, we're still in the same row of a, but now the final column of b, so we get 3 times 3 plus 0 times 1, which is 9...