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

CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper

Question : 3 of 38

Marks: +1, -0

If for a square matrix

{\A}, A^2-A+I= {\O}

, then

{\A}^{-1}

equals:

Solution: 👈: Video Solution

A^2-A+I\;=0

A^{-1} A^2-A^{-1} A+A^{-1} I\;=0

I A-I+A^{-1}\;=0

A^{-1}\;=I-A

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