Find eigenvalues of a matrix raised to a power

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Find the eigenvalues and bases for the eigenspaces of A^5 where ...

Hint: You may use the fact that the eigenvalues of A are λ=−1, 2.

#Diagonalization #Eigenvalues #Eigenspaces
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I studied in 1990 the eigen values of a matrix in faculty of science in Alex and we could used them to find this matrix raised to any power , and also any number raised to this matrix really .

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