Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A and B are invertible matrices of the same order, then $(AB)^{-1}$ is equal to

Options:

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

$A^{-1}B$

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

$AB^{-1}$

Correct Answer:

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

Explanation:

The correct answer is Option (3) → $B^{-1}A^{-1}$

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

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