Question

If P is of order 2 x 3 and Q is of order 3 x 2, then PQ is of order ____________.

Options

• 2 x 3

• 2 x 2

• 3 x 3

• 3 x 2

Answer 1

If P is of order 2 x 3 and Q is of order 3 x 2, then PQ is of order 2 x 2.

Explanation:

When matrix P is of order 2 x 3 and matrix Q is of order 3 x 2, the product PQ is only defined when the number of columns in P equals the number of rows in Q. And the following is the order of the resulting matrix: rows in P x columns in Q.