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Which of the following statements is inc...

Which of the following statements is incorrect for a square matrix A?(|A|!=0) (1) If A is a diagonal matrix then A^(-1) will also be (2) If A is a symmetric matrix then A^(-1) will also be a symmetric matrix (3) If A^(-1)=A rArr A is an idempotent matrix (4) If A^(-1)=A rArr A is an involutory matrix

A

If A is a diagonal matrix, `A^(–1)` will also be a diagonal matrix

B

If A is symmetric matrix, `A^(-1)` will also be a symmetric matrix

C

If `A^(-1) =A rArr ` A is an idempotent matrix

D

If `A^(-1)=A rArr` A is an involutary matrix

Text Solution

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The correct Answer is:
C
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