Compute ek if
Chapter 3, Problem 12(choose chapter or problem)
Compute \(e^{\mathbf{A} t}\) if
(a) \(\mathbf{A}=\left(\begin{array}{llll}
2 & 1 & 0 & 0 \\
0 & 2 & 1 & 0 \\
0 & 0 & 2 & 1 \\
0 & 0 & 0 & 2
\end{array}\right),\)
(b) \(A=\left(\begin{array}{llll}
2 & 1 & 0 & 0 \\
0 & 2 & 1 & 0 \\
0 & 0 & 2 & 0 \\
0 & 0 & 0 & 2
\end{array}\right),\)
(c) \(A=\left(\begin{array}{llll}
2 & 1 & 0 & 0 \\
0 & 2 & 0 & 0 \\
0 & 0 & 2 & 0 \\
0 & 0 & 0 & 2
\end{array}\right) .\)
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