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Exercises 1.12 Exercises
Check whether the following matrices are diagonalizable.
1.
\(\begin{pmatrix}0\amp 1\\-1\amp 0\end{pmatrix}\in M_2(\C)\)
2.
\(\begin{pmatrix}1\amp 1\amp 1\\1\amp 1\amp 1\\1\amp 1\amp 1\end{pmatrix}\in M_3(\C)\)
3.
\(\begin{pmatrix}1\amp i\\0\amp i\end{pmatrix}\in M_2(\C)\)
4.
\(\begin{pmatrix}2\amp 0\\1\amp 2\end{pmatrix}\in M_2(\C)\)
5.
\(\begin{pmatrix}1\amp 1\amp 1\\-1\amp -1\amp -1\\1\amp 1\amp 1\\\end{pmatrix}\in M_3(\C)\text{.}\)
