Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} -28 & -18 \\ 36 & 23 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
-28 & -18 \\
36 & 23
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
-4:
\begin{bmatrix}
-3 \\
4
\end{bmatrix}
-1:
\begin{bmatrix}
-2 \\
3
\end{bmatrix}
\]
\end{solution}