If matrix a is a 6 x 5 matrix, which order of matrix can be multiplied by matrix a

The correct answer is B



Before we can multiply two matrices, say matrix A by matrix B,we have to check the dimension first.

If the number of columns of the first matrix, A is equal to the number of rows in the second matrix, then, multiplication is possible.

The given matrix has dimension,



This means that, the given matrix has 6 rows and 5 columns.

Hence, the second matrix matrix MUST have 5 rows before multiplication can be POSSIBLE.

In the above options, the only matrix that has 5 rows is the matrix with dimension



In other words, the inner products of the dimensions should be equal.

That is;



is POSSIBLE.

But,



is IMPOSSIBLE.

NB: The dimension of a matrix is given by;