Question

The order of the matrix A is 3 $\times$ 5 and that of B is 2 $\times$ 3. The order of the matrix BA is

• A. 2 × 3
• B. 3 × 2
• C. 2 × 5
• D. 5 × 2

Answer 1

The correct option is C

2 × 5

Two matrices are said to be conformable for multiplication, if the number of columns of the first matrix is equal to the number of rows of the second matrix which is equal to 3 in the above problem. Therefore BA exists.

If A is a matrix of order p $\times$ m, B is a matrix of order n $\times$ p, then product matrix BA has order n $\times$ m.

Therefore the order of the matrix BA is 2 $\times$ 5