Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} -5 & -4 \\ 3 & 2 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
-5 & -4 \\
3 & 2
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
-1:
\begin{bmatrix}
1 \\
-1
\end{bmatrix}
-2:
\begin{bmatrix}
4 \\
-3
\end{bmatrix}
\]
\end{solution}