Answer by user1551 for When calculating P, for diagonalization, does the...
The problem does not lie in the order of the eigenvalues or the order of the columns of $P$. What should be diagonal is $P^{-1}AP$, not $PAP^{-1}$. The order of the eigenvalues or eigenvectors do not...
View ArticleWhen calculating P, for diagonalization, does the order of eigenvalues matter?
I'm trying to find the value of this matrix, $A = \begin{pmatrix} 1 & 4 \\ 3 & 2\end{pmatrix}$ to the power of $10$.I've determined (and confirmed on Wolfram) that the eigenvalues are $5$, and...
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