Is matrix multiplication commutative

Answer 1

Yes. Multiplication is commutative, just like addition.

Answer 2

No. In general, if A and B are square matrices of the same size, A times B is not equal to B times A.

Write down two random 2 x 2 matrices, multiply them together in both orders, and see what you get.

Answer 3

The commutative property of multiplication refers to how the changing of order of the factors does not alter the result. For example: 5 x 3 = 15

3 x 5 = 15

15 = 15

∴ 5 x 3 = 3 x 5