Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A and B are non-singular square matrices of the same order, then $(AB^{-1})^{-1}=$

Options:

$A^{-1}B$

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

$BA^{-1}$

$AB$

Correct Answer:

$BA^{-1}$

Explanation:

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

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

$=BA^{-1}$