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Mathematics
Mathematics
Problem
If
A
=
[
2
0
1
0
−
3
0
0
0
4
]
A = \begin{bmatrix} 2 & 0 & 1 \\ 0 & -3 & 0 \\ 0 & 0 & 4 \end{bmatrix}
A
=
2
0
0
0
−
3
0
1
0
4
verify
A
3
−
3
A
2
−
10
A
+
24
I
=
0
A^3 - 3A^2 - 10A + 24I = 0
A
3
−
3
A
2
−
10
A
+
24
I
=
0
, where
O
O
O
is zero matrix of order
3
×
3
3 \times 3
3
×
3
. (MQP-3)
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