If A is a square matrix such that $A^2 - A+ I =O$, then the inverse of A is
Answer & explanation
Correct answer: option 1
We have,
$A^2-A+I=O$
$⇒A-A^2 =I⇒A (I-A)=I⇒ A^{-1}=I-A$
If A is a square matrix such that $A^2 - A+ I =O$, then the inverse of A is
Correct answer: option 1
We have,
$A^2-A+I=O$
$⇒A-A^2 =I⇒A (I-A)=I⇒ A^{-1}=I-A$