Chapter 8, Problem 2RE

fill in the blanks.

The vector $X=c_1\left(\begin{array}{c}-1\\ 1\end{array}\right)e^{-9t}+c_2\left(\begin{array}{c}5\\ 3\end{array}\right)e^{7t}$ is a solution of the initial-value problem $X^{\prime }=\left(\begin{array}{cc}1& 10\\ 6& -3\end{array}\right)X,X(0)=\left(\begin{array}{c}2\\ 0\end{array}\right)$ for c₁ = _____________ and c₂ = ___________.