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Class 12 Matrices · Mcq Single Correct1 Marksmatrix_polynomials_and_inverse

Class 12 Maths · Matrices · Mcq Single Correct #21

If A²−A+I=O, express A⁻¹ in terms of A and I.

✅ Step-by-Step Solution

Final Answer: Option (C): I−A
  1. The relation gives A−A²=I, so A(I−A)=(I−A)A=I. Consequently A⁻¹=I−A.

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