Define a relation R over a class | Relation | JEE MAIN 2021

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JEE MAIN 2021

18-03-21 S2

Question

Define a relation R over a class of $n \times n$ real matrices $A$ and $B$ as "ARB iff there exists a nonsingular matrix $P$ such that $P A P^{-1}=B^{\prime \prime}$. Then which of the following is true ?

Select the correct option:

A

R is symmetric, transitive but not reflexive

B

R is reflexive, symmetric but not transitive

C

R is an equivalence relation

D

R is reflexive, transitive but not symmetric

✓ Correct! Well done.

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Solution

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Mathematics

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