If matrix A is of order 2 by 3 and matrix B is of order 3 by 1, then the order of AB is _____?

2 by 1

2 by 3

3 by 3

None of these

Explanation

When multiplying matrices, the order of the resulting matrix is determined by the rows of the first matrix (A) and columns of the second matrix (B).

Since A is 2×3 and B is 3×1, the resulting matrix AB will be of order 2×1.