Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} 2 & 0 \\ -8 & 4 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
2 & 0 \\
-8 & 4
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
4:
\begin{bmatrix}
0 \\
1
\end{bmatrix}
2:
\begin{bmatrix}
-1 \\
-4
\end{bmatrix}
\]
\end{solution}