Question

If Matrix A has dimensions 2 x 2, and Matrix B has dimensions 3 x 2, can Matrix A and Matrix B be multiplied?

Answer 1

In order for two matrices A and B to be multiplied, they should be conformable. The columns of A should match the rows of B.

Given:
A is (2 x 2) => rows = 2, columns =2
B is (3 x 2) => rows = 3, columns = 2

Because 2 (columns of A) is not equal to 3 (rows of B), the matrices cannot be multiplied because they are not conformable.

Answer:
A and B cannot be multiplied.