Q20Single correct2 Marks4 Aug 2024

Consider $P=\frac15\begin{bmatrix}3&4\\-4&3\end{bmatrix}$ and $Q=\frac15\begin{bmatrix}3&-4\\4&3\end{bmatrix}$. Let $A$ be any $2\times2$ matrix and $B=PAQ$. Which statement is true?

A

$A$ and $B$ are similar matrices.

B

$A$ and $B$ are equivalent matrices, but not similar.

C

$A$ and $B$ are similar matrices, but not equivalent.

D

$A$ and $B$ are not equivalent matrices.