Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A and B are two square matrices such that $AB=I$, then which of the following is not true?

Options:

$BA=I$

$A^{-1}=B$

$B^{-1} = A$

$A^2=B$

Correct Answer:

$A^2=B$

Explanation:

We have,

$AB=I$

$⇒B^{-1} = A$ and $A^{-1}=B$

$⇒BA=BB^{-1} =I$

Hence, option (4) is not correct.