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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 and only if there exist invertible matrices P and Q such that `B=PAQ ^(-1)` . The binary relation ~ is

A

neither reflexive or symmetric

B

reflexive and symmetric but not transitive

C

symmetric and transitive but not reflexive

D

an equivalence relation

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