After entering my answers, I got only about 44% of the answers right. What did I do wrong?
Thanks for the help.
$\displaystyle y''=6y'+7y$
$\displaystyle \begin{pmatrix}y \\ y' \end{pmatrix}^{\prime}=\begin{pmatrix} 0 & 1 \\ 7 & 6 \end{pmatrix} \begin{pmatrix}y \\ y' \end{pmatrix}$
Note you can check this is the correct matrix by multiplying out the left hand side and verifying that it gives you back the orginial equation!
If you multiply out your equation above you will get a contradiction.
I hope this helps.