Let $A = \left( \begin{array} { c c } 2 & 0 \\0 & - 3\end{array} \right)$

question 37

Multiple Choice

Let $A = \left( \begin{array} { c c } 2 & 0 \\0 & - 3\end{array} \right)$ . Then $e ^ { A t } =$

• A) \(I + A t\)
• B) \(I + A t + A ^ { 2 } t ^ { 2 } / 2\)
• C) \(A t + A ^ { 2 } t ^ { 2 } / 2\)
• D) \(\left( \begin{array} { c c }
• e ^ { 2 t } & 0 \\
• 0 & e ^ { - 3 t }
• \end{array} \right)\)
• E) \(\left( \begin{array} { c c }
• e ^ { 2 t - 1 } - 1 & 0 \\
• 0 & e ^ { - 3 t } - 1
• \end{array} \right)\)

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