Find the eigenvalues and eigenvectors of the matrix:
\[\begin{bmatrix} -15 & 30 \\ -6 & 12 \end{bmatrix}\]Click for answer
Your answer may differ by scaling eigenvectors or otherwise choosing a different basis for the eigenspace.
Click for Latex code
\[
\begin{bmatrix}
-15 & 30 \\
-6 & 12
\end{bmatrix}
\]
Eigenvalues and vectors:
\begin{solution}
\[
0:
\begin{bmatrix}
2 \\
1
\end{bmatrix}
-3:
\begin{bmatrix}
-5 \\
-2
\end{bmatrix}
\]
\end{solution}