Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} 5 & -6 \\ 12 & -12 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
5 & -6 \\
12 & -12
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
-3:
\begin{bmatrix}
-3 \\
-4
\end{bmatrix}
-4:
\begin{bmatrix}
-2 \\
-3
\end{bmatrix}
\]
\end{solution}