Question

If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is ______.

Options

• m × 3

• 3 × 3

• m × n

• 3 × n

Answer 1

If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is 3 × n.

Explanation:

As we know that the addition and subtraction of two matrices is only possible when they have same order. It is also given that m = n.

∴ Order of (5A – 2B) is 3 × n.