Answer :

Answer:

Consider the matrices

[tex]A=\left[\begin{array}{ccc}1&-3\\3&1\end{array}\right][/tex] y [tex]B=\left[\begin{array}{ccc}4&2\\-2&4&\end{array}\right][/tex]

Observe that

[tex]AB=\left[\begin{array}{ccc}1&-3\\3&1\end{array}\right]\left[\begin{array}{cc}4&2\\-2&4\end{array}\right]=\left[\begin{array}{cc}10&-10\\10&10\end{array}\right][/tex]

and

[tex]BA=\left[\begin{array}{cc}4&2\\-2&4\end{array}\right]\left[\begin{array}{ccc}1&-3\\3&1\end{array}\right]=\left[\begin{array}{cc}10&-10\\10&10\end{array}\right][/tex]

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