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Matrix/Nilpotent/Jordan/Successive kernels/2/Exercise
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Determine the kernels of the powers
M
i
{\displaystyle {}M^{i}}
of the matrix
M
=
(
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
)
.
{\displaystyle {}M={\begin{pmatrix}0&1&0&0&0\\0&0&1&0&0\\0&0&0&0&0\\0&0&0&0&1\\0&0&0&0&0\end{pmatrix}}\,.}
Create a solution
of the matrix
