Given the following state space equations:

$x_1^{}=x_1+x_2+2u$

$x_2^{}=3x_1+4x_2+u$

$y=2x_1+3x_2+u$

Write these equations in matrix form.

a$.x^{}=\left[\begin{array}{cc}1& 1\\ 3& 4\end{array}\right]x+\left[\begin{array}{c}2\\ 1\end{array}\right]u,y=\left[\begin{array}{cc}1& 2\end{array}\right]x+[1]u$

b$.x^{}=\left[\begin{array}{cc}1& 1\\ 4& 3\end{array}\right]x+\left[\begin{array}{c}1\\ 1\end{array}\right]u,y=\left[\begin{array}{cc}2& 3\end{array}\right]x+[1]u$

C$.x^{}=\left[\begin{array}{cc}1& 3\\ 1& 4\end{array}\right]x+\left[\begin{array}{c}1\\ 2\end{array}\right]u,y=\left[\begin{array}{cc}3& 2\end{array}\right]x+[1]u$

d$.,x^{}=\left[\begin{array}{cc}1& 1\\ 3& 4\end{array}\right]x+\left[\begin{array}{c}2\\ 1\end{array}\right]u,y=\left[\begin{array}{cc}2& 3\end{array}\right]x+[1]u$