Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A is a square matrix such that $A^2 - A+ I =O$, then the inverse of A is

Options:

$I - A$

$A-I$

$A$

$A+I$

Correct Answer:

$I - A$

Explanation:

We have,

$A^2-A+I=O$

$⇒A-A^2 =I⇒A (I-A)=I⇒ A^{-1}=I-A$