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

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