Question

If matrix A is a 6 × 5 matrix, which order of matrix can be multiplied by matrix A?

Answer 1

It would be a 5 x 6 matrix 

Answer 2

5 x n, where n is any natural number.

Explanation:

If A is a 6 x 5 matrix, it means that A has 6 rows and 5 columns, this means that if a matrix B can be multiplied by A, then each one of its columns must have 5 entries. Therefore, B has to be a matrix with 5 rows and it might have any arbitrary number of columns, in other words B is a 5 x n matrix, where n must be a natural number bigger than 1.