Question

The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, whenever these products exist.A=2*1, and B=1*2

Answer 1

AB = 2 x 2

BA = 1 x 1

Step-by-step explanation:

If we have two matrices with sizes:

a x b and n x m,

The product will exist if b = n and the result will have a rows and m columns or will have a size of a x m.

Therefore, for the matrices, A = 2 x 1 and B = 1 x 2:

The product AB exists and the size of the product is 2 x 2.

The product BA exists and the size of the product is 1 x 1.