If A =
3 0
5 2
and B =
6 3
2 1
, what is AB?
To calculate the product of matrices A and B (AB), we need to multiply the corresponding elements in the rows of matrix A with the corresponding elements in the columns of matrix B and sum them up.
Taking matrix multiplication step by step, we have:
AB =
(3 * 6 + 0 * 2) (3 * 3 + 0 * 1)
(5 * 6 + 2 * 2) (5 * 3 + 2 * 1)
AB =
(18 + 0) (9 + 0)
(30 + 4) (15 + 2)
AB =
18 9
34 17
So, AB is equal to:
18 9
34 17