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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=OA, A^2-A+I=O, then A−1A^{-1} equals:
Solution:     👈: Video Solution
A2−A+I  =0A^2-A+I\;=0
A−1A2−A−1A+A−1I  =0A^{-1} A^2-A^{-1} A+A^{-1} I\;=0
IA−I+A−1  =0I A-I+A^{-1}\;=0
A−1  =I−AA^{-1}\;=I-A
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