Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} -16 & 16 \\ -12 & 12 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
-16 & 16 \\
-12 & 12
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
-4:
\begin{bmatrix}
4 \\
3
\end{bmatrix}
0:
\begin{bmatrix}
-1 \\
-1
\end{bmatrix}
\]
\end{solution}