Find Eigevectors and Eigenvalues of a 2 by 2 Matrix on Video

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In this video, the steps to calculate the eigenvectors and eigenvalues of a 2 by 2 matrix are presented.
Question: Question: Find the eigevalues and eigenvectors of the matrix \[ A = \begin{bmatrix}
-2 & 2 \\
3 & -1
\end{bmatrix}
\]