This video includes all the steps needed to calculate the eigenvectors and eigenvalues of a 3 by 3 matrix.
Question:
Question: Find the eigevalues and eigenvectors of the matrix \[ A = \begin{bmatrix}
-1 & 2 & -1 \\
2 & 3 &1 \\
-1 & 2 & -1
\end{bmatrix}
\]