JEE Math Practice Question
Define a relation R over a class of n $$\times$$ n real matrices A and B as "ARB iff there exists a non-singular matrix P such that PAP$$-$$1 = B". Then which of the following is true?
- A.R is reflexive, transitive but not symmetric
- B.R is symmetric, transitive but not reflexive.
- C.R is reflexive, symmetric but not transitive
- D.R is an equivalence relation
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