A= 3 -2 1 4 B= 0 -1 3 2 what is AB?
To find the product of matrices A and B, we need to multiply each element of matrix A with the corresponding element of matrix B (row by column) and sum them up.
Matrix A:
A = 3 -2
1 4
Matrix B:
B = 0 -1
3 2
Now, let's find the product AB:
AB = (3 * 0) + (-2 * 3) (3 * -1) + (-2 * 2)
(1 * 0) + (4 * 3) (1 * -1) + (4 * 2)
AB = 0 + (-6) (-3) + (-4)
0 + 12 (-1) + 8
AB = -6 - 7
0 + 12
AB = -13
12
So, the product AB is:
AB = -13 12