Find (e^{mathbf{A} t}), where (t) is scalar, using a. The expm command. b. The inverse Laplace-transform approach.

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Find \(e^{\mathbf{A} t}\), where \(t\) is scalar, using

a. The expm command.
b. The inverse Laplace-transform approach.

\(\mathbf{A}=\left[\begin{array}{lll}1 & 1 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]\)

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