If A and B are two matrices such that AB is of order n n, then which one of the following is correct?

NDA 2021 Mathematics question

If and are two matrices such that is of order , then which one of the following is correct?

(A) and should be square matrices of same order.
(B)Either or should be a square matrix.
(C)Both and should be of same order.
(D)Orders of and need not be the same.Correct

Answer: (D)

Solution

The product is defined when the number of columns of equals the number of rows of . If is of order and is of order , then is of order for any positive integer . For example, of order

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-033502