In 1922, use the method of Example 3 to compute eAt for the coefficient matrix. Use (1)

Chapter 10, Problem 20

(choose chapter or problem)

In Problems 19-22, use the method of Example 3 to compute \(e^{\mathbf{A} t}\) for the coefficient matrix. Use (1) to find the general solution of the given system.

\(\mathbf{X}^{\prime}=\left(\begin{array}{rr}1 & 2 \\ -1 & 4\end{array}\right) \mathbf{X}\)

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