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

Question

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

Accepted Answer

R is an equivalence relation

Questions

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 $\text{PAP}^{-1} = \text{B}$ ". Then which of the following is true ?

Related questions

Questions

Define a relation R over a class of n×nn \times nn×n real matrices A and B as "ARB iff there exists a non-singular matrix P such that PAP−1=B\text{PAP}^{-1} = \text{B}PAP−1=B". Then which of the following is true ?

Related questions

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 $\text{PAP}^{-1} = \text{B}$ ". Then which of the following is true ?