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Marix A=

|1 1 0 |

|0 2 0 |

|2 1-1 |

Has three eigenvectors [1,1,1]^T, [1,0,1]^T and [0,0,1]^T,By using this knowledgesolve A^11.

Ok, solving A^11 is rather easy with any decent calculator, or even with pen , paper and some time, but how on earth I'm supposed to benefit from thoose eigenvectors?

Thank you.

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# Eigenvectors and using them in matrix algebra.

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