Question

If A is a 2 × 3 matrix such that AB and AB' both are defined, then the order of the matrix B is ______.

Options

• 2 × 2

• 2 × 1

• 3 × 2

• 3 × 3

Answer 1

If A is a 2 × 3 matrix such that AB and AB' both are defined, then the order of the matrix B is 3 × 3.

Explanation:

Here, matrix A is of order 2 × 3. And AB and AB' are both defined. Then, from the given options order of matrix B is 3 × 3.