If for a square matrix {\A}, A^2-A+I= {\O}, then {\A}^{-1} ...

CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper

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Question : 3 of 38

Marks: +1, -0

If for a square matrix A,A2−A+I=O, then A−1 equals:

A
A+I
I-A
A-I

Solution: 👈: Video Solution

A2−A+I‌=0
A−1A2−A−1A+A−1I‌=0
IA−I+A−1‌=0
A−1‌=I−A

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