In the set of all $3 \times 3$ real matrices a relation is defined as follows. A matrix A is related to a matrix B if and only if there is a non-singular $3 \times 3$ matrix P such that $B = P^{- 1} A P$ . This relation is

Reflexive, Symmetric but not Transitive

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Reflexive, Transitive but not Symmetric

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Symmetric, Transitive but not Reflexive

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An Equivalence relation

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Solution

The correct option is D An Equivalence relation

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