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Linear AlgebraMediumDiagonalization & Matrix Powers

Diagonalization & Matrix Powers · Medium problem

Let A=(5445)A = \begin{pmatrix}5 & 4\\4 & 5\end{pmatrix}. There is a unique matrix BB with positive eigenvalues such that B2=AB^2 = A. Find the entry in row 1, column 2 of BB.