We define a binary relation - on the set of all 3- 3 matrices as A- B if and only if there exist invertible matrices P and Q such that B-PAQ-1- The binary relation - is

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Equivalence Relation

We define a b...

Question

We define a binary relation $\sim$ on the set of all $3 \times 3$ matrices as $A \sim B$ if and only if there exist invertible matrices $P$ and $Q$ such that $B = P A Q^{- 1}$ . The binary relation $\sim$ is

Neither reflexive nor symmetric

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Reflexive and symmetric but not transitive

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Symmetric and transitive but not reflexive

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An equivalence relation

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Solution

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