The Wronskian of the vector functions $\mathbf { X } _ { 1 } = \left( \begin{array} { l }
1 \
2 \
3
\end{array} \right) e ^ { t } , \mathbf { X } _ { 2 } = \left( \begin{array} { c }
- 1 \
0 \
3
\end{array} \right) e ^ { - 2 t }$ and $\mathbf { X } _ { 3 } = \left( \begin{array} { l }
2 \
2 \
1
\end{array} \right) e ^ { 4 t }$ is
A) $14 e ^ { 3 t }$
B) $10 e ^ { 3 t }$
C) $- 10 e ^ { 3 t }$
D) $2 e ^ { 3 t }$
E) $- 2 e ^ { 3 t }$

Question

The Wronskian of the vector functions $\mathbf { X } _ { 1 } = \left( \begin{array} { l } 
1 \
2 \
3
\end{array} \right) e ^ { t } , \mathbf { X } _ { 2 } = \left( \begin{array} { c } 
- 1 \
0 \
3
\end{array} \right) e ^ { - 2 t }$ and $\mathbf { X } _ { 3 } = \left( \begin{array} { l } 
2 \
2 \
1
\end{array} \right) e ^ { 4 t }$ is
A) $14 e ^ { 3 t }$
B) $10 e ^ { 3 t }$
C) $- 10 e ^ { 3 t }$
D) $2 e ^ { 3 t }$
E) $- 2 e ^ { 3 t }$

Quizplus · Accepted Answer

The Answer is D

The Wronskian of the Vector Functions And X3=(221)e4t\mathbf { X } _ { 3 } = \left( \begin{array} { l } 2 \\2 \\1\end{array} \right) e ^ { 4 t }X3​=​221​​e4t

The Wronskian of the Vector Functions And $\mathbf { X } _ { 3 } = \left( \begin{array} { l } 2 \\2 \\1\end{array} \right) e ^ { 4 t }$