Question

For the matrix A and B, the product AB exist but BA does not exist. What can you say about the order of A and B

Answer 1

Answer:

Non-commutative

Step-by-step explanation:

In matrix multiplication, order does matter.

For two matrices, A and B, $AB\neq BA$.

If the size of A is (1x3) nd the size of B is (3x2), then AB will exist because the inner dimensions match.

However, BA will not exist because the outer dimensions do not match.

Therefore, matrix multiplication is non-commutative.