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Problem
Show that
[
1
1
3
5
2
6
−
2
−
1
−
3
]
\begin{bmatrix} 1 & 1 & 3 \\ 5 & 2 & 6 \\ -2 & -1 & -3 \end{bmatrix}
1
5
−
2
1
2
−
1
3
6
−
3
is nilpotent matrix of order 3.
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