Assertion (A): A square non-singular matrix M satisfies -M^2 + M + 3I = 0 , then M^ -1 =…
Mathematics · Class 12 · CBSE — Determinants
Assertion (A): A square non-singular matrix \(M\) satisfies \(-M^2 + M + 3I = 0\), then \(M^{-1} = \frac{1}{3}(M - I)\).
Reason (R): Every square matrix is invertible.
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(C) (A) is true but (R) is false.
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