Let $A = \left( \begin{array} { l l l } 0 & 1 & 2 \\0 & 0 & 4 \\0 & 0 & 0\end{array} \right)$

question 8

Multiple Choice

Let $A = \left( \begin{array} { l l l } 0 & 1 & 2 \\0 & 0 & 4 \\0 & 0 & 0\end{array} \right)$ . Then $e ^ { A t } =$

• A) \(\left( \begin{array} { l l l }
• 1 & t & 2 t \\
• 0 & 1 & 4 t \\
• 0 & 0 & 1
• \end{array} \right)\)
• B) \(\left( \begin{array} { c c c }
• 1 & - t & 2 t + 2 t ^ { 2 } \\
• 0 & 1 & - 4 t \\
• 0 & 0 & 1
• \end{array} \right)\)
• C) \(\left( \begin{array} { c c c }
• 1 & t & 2 t + 2 t ^ { 2 } \\
• 0 & 1 & 4 t \\
• 0 & 0 & 1
• \end{array} \right)\)
• D) \(\left( \begin{array} { c c c }
• 1 & t & 2 t + 4 t ^ { 2 } \\
• 0 & 1 & 4 t \\
• 0 & 0 & 1
• \end{array} \right)\)
• E) none of the above

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