For the following system, answer questions $5$ and $6.$

$\frac{d}{dt}\left[\begin{array}{c}{x}_1(t)\end{array}\right]$

$x_2(t)=\left[\begin{array}{ccc}-4& 7& -1\end{array}\right]$

$5\left[\begin{array}{c}{x}_1(t)\end{array}\right]$

$x_2(t)+\left[\begin{array}{c}1\end{array}\right]$

$0u(t)$

$y(t)=\left[\begin{array}{cc}1& 0\end{array}\right]\left[\begin{array}{c}{x}_1(t)\end{array}\right]$

$x_2(t)$

Find the eigenvalues of matrix A $($in ascending order$)$ and find the eigenvector where the first element is normalized to $1\mathrm{.}6.$

Using a state variable transformation, diagonalize the system if possible.Do both questions in detail urgent solution required