Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A and B are invertible matrices of the same order, then

Options:

$AB = BA$

$(AB)^{-1}=B^{-1}A^{-1}$

$(AB)^{-1}=A^{-1}B^{-1}$

$AB^{-1}=B^{-1}A$

Correct Answer:

$(AB)^{-1}=B^{-1}A^{-1}$

Explanation:

The correct answer is Option (2) → $(AB)^{-1}=B^{-1}A^{-1}$

Given, A and B are matrices such that they all invertible and also of same order.

$(AB)^{-1}=B^{-1}A^{-1}$