In 1518, use the method of Example 2 to compute eAt for the coefficient matrix. Use (1)
Chapter 10, Problem 17(choose chapter or problem)
In Problems 15-18, use the method of Example 2 to compute \(e^{\mathbf{A} t}\) for the coefficient matrix. Use (1) to find the general solution of the given system.
\(\mathbf{X}^{\prime}=\left(\begin{array}{ll}5 & -9 \\ 1 & -1\end{array}\right) \mathbf{X}\)
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