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| 350 views
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eigen values will be 2,14... dont know about eigen vector..

Correct me if I am Wrong

by Active (4.7k points)
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So eigen vector of A^m is same as A and eigen vector of polynomial matrix equation given above will be same as A also?
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Yes... you can try for some examples the eigenvector for A turns out to be the same for A^m as well as the equation.
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@ Rahul

Yes they are same, see this

$Ax = \lambda x \\ A^{^{2}}x = AAx = A\lambda x = \lambda Ax= \lambda \lambda x$

$A^{^{2}}x = \lambda^{2}x$