JEE Main 2021 Mathematics question

Define a relation R over a class of n × n real matrices A and B as "ARB iff there exists a non-singular matrix P such that ". Then which of the following is true ?

• (A)R is symmetric, transitive but not reflexive
• (B)R is reflexive, symmetric but not transitive
• (C)R is an equivalence relationCorrect
• (D)R is reflexive, transitive but not symmetric