Eigenvalues and Eigenvectors

The characteristic polynomial, diagonalization, complex eigenvalues, powers, and Markov chains.0/15 mastered

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Let

A=PDP^{-1}

with

D=\begin{pmatrix}1&0\\0&-2\end{pmatrix}

. Find the

(2,2)

entry of

D^{5}

, which is also the second diagonal entry in

A^{5}=PD^{5}P^{-1}

Your answer

#1293