Suppose P has the eigenvalue decomposition P = UAU⁻¹ where U is the matrix of eigenvectors. Give a formula to calculate Pⁿ as a function of the eigenvalues λ1, ...., λd, U⁻¹ and U.

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10-06-2024
Mathematics

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Suppose P has the eigenvalue decomposition P = UAU⁻¹ where U is the matrix of eigenvectors. Give a formula to calculate Pⁿ as a function of the eigenvalues λ1, ...., λd, U⁻¹ and U.

Sagot :

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