Question

x'(t) = \begin{bmatrix} -9 & -1 \\ 10 & -7 \end{bmatrix} x(t), \\ (a) x(0) = \begin{bmatrix} -12 \\ 0 \end{bmatrix} \qquad (b) x(\pi) = \begin{bmatrix} 1 \\ -1 \end{bmatrix} \qquad (c) x(-2\pi) = \begin{bmatrix} 4 \\ 1 \end{bmatrix} \qquad (d) x(\pi/6) = \begin{bmatrix} 0 \\ 3 \end{bmatrix} \\ (a) x(t) = \boxed{} \\ (Use parentheses to clearly denote the argument of each function.)

          x'(t) = \begin{bmatrix} -9 & -1 \\ 10 & -7 \end{bmatrix} x(t), \\
(a) x(0) = \begin{bmatrix} -12 \\ 0 \end{bmatrix} \qquad (b) x(\pi) = \begin{bmatrix} 1 \\ -1 \end{bmatrix} \qquad (c) x(-2\pi) = \begin{bmatrix} 4 \\ 1 \end{bmatrix} \qquad (d) x(\pi/6) = \begin{bmatrix} 0 \\ 3 \end{bmatrix} \\
(a) x(t) = \boxed{} \\
(Use parentheses to clearly denote the argument of each function.)