The Wronskian of the Vector Functions And $X _ { 3 } = \left( \begin{array} { c } - 1 \\5 \\0\end{array} \right) e ^ { 3 t }$

question 29

Multiple Choice

The Wronskian of the vector functions $\mathbf { X } _ { 1 } = \left( \begin{array} { l } 2 \\1 \\0\end{array} \right) e ^ { t } , \mathbf { X } _ { 2 } = \left( \begin{array} { l } 1 \\3 \\5\end{array} \right) e ^ { 2 t }$ and $X _ { 3 } = \left( \begin{array} { c } - 1 \\5 \\0\end{array} \right) e ^ { 3 t }$ is

• A) \(55 e ^ { 6 t }\)
• B) \(- 55 e ^ { 6 t }\)
• C) \(45 e ^ { 6 t }\)
• D) \(- 45 e ^ { - 6 t }\)
• E) \(45 e ^ { - 6 t }\)

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