If matrix A can be multiplied by matrix B, can matrix B be multiplied by matrix A?

1 Answer
Nov 3, 2015

Answer:

It depends on orders of matrices.

Explanation:

Matrix multiplication of A and B is possible when the number columns of A equals to the number of rows of B.

Matrix multiplication of B and A is possible when the number columns of B equals to the number of rows of A.

Since multiplication depends on equality of columns and rows of first matrix and second matrix respectively , hence multiplication of B and A should not determined until and unless orders of matrices are defined.