Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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### Matrix Similarity Questions

**(a)** Are the matrices 

\[ 
\begin{pmatrix} 
1 & 2 \\ 
2 & 1 
\end{pmatrix} 
, 
\begin{pmatrix} 
2 & 1 \\ 
1 & 2 
\end{pmatrix} 
\]

similar? Why or why not?

**(b)** Are the matrices 

\[ 
\begin{pmatrix} 
5 & 2 \\ 
2 & 1 
\end{pmatrix} 
, 
\begin{pmatrix} 
2 & 5 \\ 
1 & 3 
\end{pmatrix} 
\]

similar? Why or why not?
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Transcribed Image Text:### Matrix Similarity Questions **(a)** Are the matrices \[ \begin{pmatrix} 1 & 2 \\ 2 & 1 \end{pmatrix} , \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix} \] similar? Why or why not? **(b)** Are the matrices \[ \begin{pmatrix} 5 & 2 \\ 2 & 1 \end{pmatrix} , \begin{pmatrix} 2 & 5 \\ 1 & 3 \end{pmatrix} \] similar? Why or why not?
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