\text{In part a), I found the eigenvalues and eigenvectors of }A=\begin{pmatrix}3&-15\\1&-5\end{pmatrix}\\ \text{to be }0, \begin{pmatrix}5\\1\end{pmatrix}, \quad -2, \begin{pmatrix}3\\1\end{pmatrix}
\text{In part b) I found the solution to the set of ODEs}\\...