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We define a binary relation ~ on the...

We define a binary relation ~ on the set of all `3xx3` real matrices as A ~B if and only if these exist invertible matrices P and Q such 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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