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Let P be a 3 × 3 matrix such that P^T=la...

Let P be a 3 × 3 matrix such that `P^T=lambdaP+muI,lambda, mu in R` , where `lambda ne pm 1, mu ne 0` and `P^T` denotes transpose of matrix P then :

A

P is singular matrix

B

P is non singular matrix

C

`P((x),(y),(z))=0` have a unique solution

D

trace of P=`mu/(1-lambda)`

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The correct Answer is:
B, C
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