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In the set all 3xx 3 real matric a ...

In the set all `3xx 3 ` real matric a relation a relation is defined as follows .A matrix A is related to a matric B if and only if there is a non - singular `3xx 3` matrix P such that ` B=P^(-1) AP.` This relation is -

A

reflxice, symmetric but not Transitive

B

Reflexive ,Transitive but not symmetric

C

Symmetric ,Transitive but not Reflexive

D

an Equivalence relation

Text Solution

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The correct Answer is:
D
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