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Define a relation R over a class of n xx...

Define a relation R over a class of `n xx n` real matrices A and B as `ARB` iff there exists a non-singular matrix P such that `A=P^(-1)BP`
Then which of the following is true?

A

R is an equivalence relation

B

R is reflexive, transitive but not symmetric

C

R is symmetric, transitive but not reflexive

D

R is reflexive, symmetric but not transitive

Text Solution

Verified by Experts

The correct Answer is:
A
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