例
\(A=\left(\begin{array}{cc}
2 & 0\cr
-1 & -1\cr
\end{array}\right)\) とすると，
\(A^2-A-2E=O\)
\(A^5=(A^2-A-2E)(A^3+A)+(11A+10E)=11A+10E
=\left(\begin{array}{cc}
32 & 0\cr
-11 & -1\cr
\end{array}\right)\)
筆算では，
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1 |
1 |
3 |
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| 1 |
-1 |
-2 |
) |
1 |
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1 |
-1 |
-2 |
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1 |
2 |
0 |
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1 |
-1 |
-2 |
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3 |
2 |
0 |
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3 |
-3 |
-6 |
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5 |
6 |
0 |
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5 |
-5 |
-10 |
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11 |
10 |
スーパー組立除法®(笑)
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1 |
0 |
0 |
0 |
0 |
0 |
| 2 |
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2 |
2 |
6 |
10 |
| 1 |
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1 |
1 |
3 |
5 |
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1 |
1 |
3 |
5 |
11 |
10 |