Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} 20 & 20 \\ -16 & -16 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
20 & 20 \\
-16 & -16
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
0:
\begin{bmatrix}
-1 \\
1
\end{bmatrix}
4:
\begin{bmatrix}
5 \\
-4
\end{bmatrix}
\]
\end{solution}