Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} -8 & -6 \\ 8 & 6 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
-8 & -6 \\
8 & 6
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
-2:
\begin{bmatrix}
1 \\
-1
\end{bmatrix}
0:
\begin{bmatrix}
3 \\
-4
\end{bmatrix}
\]
\end{solution}