If matrix A=
1 2 2
2 1 2
2 2 1
verify,
A²-4A-5I=0
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Step-by-step explanation:
1 2 2 1 2 2 1 2 2 1 0 0 9 8 8 4 8 8 5 0 0
2 1 2 ×2 1 2 - 4 2 1 2 - 5 0 1 0 =8 9 8- 8 4 8 -0 5 0
2 2 1 2 2 1 2 2 1 0 0 1 8 8 9 8 8 4 0 0 5
0 0 0
= 0 0 0 : A²-4A-5I=0
0 0 0
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