Mathematics · 2021
JEE Main · 18 March 2021, Shift 2 · Q78
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 PAP^-1= B ". Then which of…
Define a relation $\displaystyle R$ over a class of $\displaystyle n \times n$ real matrices $\displaystyle A$ and $\displaystyle B$ as "ARB iff there exists a non-singular matrix P such that $\displaystyle \mathrm{PAP}^{-1}=\mathrm{B}$". Then which of the following is true ?
Official answer
(4)
$\displaystyle R$ is an equivalence relation
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.