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Mathematics
Mathematics
Problem
Let
A
=
[
1
2
3
3
−
2
1
4
2
1
]
A = \begin{bmatrix} 1 & 2 & 3 \\ 3 & -2 & 1 \\ 4 & 2 & 1 \end{bmatrix}
A
=
1
3
4
2
−
2
2
3
1
1
. Show that
A
3
−
23
A
−
40
I
=
0
A^3 - 23A - 40I = 0
A
3
−
23
A
−
40
I
=
0
.
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