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Linear AlgebraEasyEigenvalues

Eigenvalues · Easy problem

A 2×22\times 2 matrix AA satisfies A(25)=(615)A\begin{pmatrix}2\\5\end{pmatrix} = \begin{pmatrix}6\\15\end{pmatrix}. Find the second entry of A2(25)A^2\begin{pmatrix}2\\5\end{pmatrix}.