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Linear AlgebraEasyDiagonalization & Matrix Powers

Diagonalization & Matrix Powers · Easy problem

The matrix A=(270−3)A = \begin{pmatrix}2 & 7\\0 & -3\end{pmatrix} has an eigenvector of the form (1y)\begin{pmatrix}1\\y\end{pmatrix} for the eigenvalue −3-3. Find yy.