Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} -30 & 28 \\ -35 & 33 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
-30 & 28 \\
-35 & 33
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
-2:
\begin{bmatrix}
1 \\
1
\end{bmatrix}
5:
\begin{bmatrix}
-4 \\
-5
\end{bmatrix}
\]
\end{solution}