$(16$pts$)$ Let $u_1(t),u_2(t),u_3(t),u_4(t)$ be some scalar functions which satisfy the following relations:

$\frac{d}{dt}{v}_1(t)=u_2(t)+2u_3(t)$

$\frac{d}{dt}{u}_2(t)=u_3(t)+2u_4(t)$

$\frac{d}{dt}{u}_3(t)=u_4$

$\frac{d}{dt}{u}_4(t)=0$

$0120\left[\begin{array}{c}{v}_1\\ 0\\ 0\\ \text{c}\text{o}\text{c}12\\ v_2\\ cocos\\ v_3\\ v_4\end{array}\right]$

$u_1(6)=$

$u_2(6)=q,$

$u_3(6)=q,$

$-120$

$0-112$

$u_4(6)=q,$

$0C-1.$

S C$?$Solve the question by using matrices