A= 3 -2
1 4
B= 0 -1
3 2
what is AB?
To find the product of A and B (AB), we need to multiply each element of A by its corresponding element in B and sum the products.
A =
3 -2
1 4
B =
0 -1
3 2
So, AB will be:
AB =
(3 * 0 + -2 * 3) (3 * -1 + -2 * 2)
(1 * 0 + 4 * 3) (1 * -1 + 4 * 2)
Calculating the products and sums:
AB =
(-6 + -6) (-3 + -4)
(0 + 12) (-1 + 8)
Simplifying:
AB =
-12 -7
12 7
Therefore, AB is:
-12 -7
12 7