Question

Let $A$ and $B$ are non-singular matrices of same order. Now, consider the following statements
I. $A B$ is also non-singular matrix.
II. $B A$ is also non-singular matrix.
Choose the correct option.

• A. Only I is true
• B. Only II is true
• C. Both I and II are true
• D. Neither I nor II is true

Answer 1

Answer: (C)

If $A$ and $B$ are non-singular matrices of the same order, then $A B$ and $B A$ are also non-singular matrices of the same order.