Question

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