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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