A=⎝⎛21−1−14−1−112⎠⎞=⎝⎛060−14−1−112⎠⎞=⎝⎛060−140−113⎠⎞ =
⎝⎛060−140−113⎠⎞=⎝⎛060−130−103⎠⎞=⎝⎛660230−103⎠⎞ =
=⎝⎛660230003⎠⎞=⎝⎛200230003⎠⎞=⎝⎛200030003⎠⎞
Since A is diagonal now, it is easy to find A to any power.
A2345=⎝⎛223450003234500032345⎠⎞
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