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## Main Question or Discussion Point

If x is an eigenvector of matrix A, is it true that it is also an eigenvector of A -1, or A + A^2?

Thanks for the help.

Thanks for the help.

- Thread starter sleepisgood
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- #1

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If x is an eigenvector of matrix A, is it true that it is also an eigenvector of A -1, or A + A^2?

Thanks for the help.

Thanks for the help.

- #2

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If A**v** = x**v**, what is (A - I)**v** and (A^{2} + A)**v**?

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