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Linear AlgebraEasyDiagonalization & Matrix Powers

Diagonalization & Matrix Powers · Easy problem

Let A=PDP−1A = PDP^{-1} with P=(1213)P = \begin{pmatrix}1 & 2\\1 & 3\end{pmatrix} and D=(400−2)D = \begin{pmatrix}4 & 0\\0 & -2\end{pmatrix}. Find the trace of A−1A^{-1}.