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We define a binary relation ~ on the set...

We define a binary relation ~ on the set of all `3 xx 3` real matrices as `A ~ B` if any there exist invertible matrices P and Q that B = `PAQ^(-1)` . The binary relation ~ is

A

neither reflexive nor symmetric

B

reflexive and symmetric but not transitive

C

symmetric and transitive but not reflexive

D

an equivalence relation

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The correct Answer is:
D
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