Does eigenvectors of a matrix change during matrix operations? – math.stackexchange.com

Does eigenvectors of a matrix change during matrix operations? – math.stackexchange.com

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If I have a matrix $A$ with two eigenvectors $x$ and $y$. What will be the eigenvectors of $$A^2 - 3A + 4I ?$$ I know that if we take powers of $A$ then the eigenvectors remain unchanged. But I am ...

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