The Wronskian of the Vector Functions $X _ { 1 } = \left( \begin{array} { c } 1 \\- 1\end{array} \right) e ^ { - 2 t }$

question 3

Multiple Choice

The Wronskian of the vector functions $X _ { 1 } = \left( \begin{array} { c } 1 \\- 1\end{array} \right) e ^ { - 2 t }$ and $X _ { 2 } = \left( \begin{array} { l } 3 \\5\end{array} \right) e ^ { 6 t }$ is

• A) \(8 e ^ { 4 t }\)
• B) \(2 e ^ { 4 t }\)
• C) \(- 8 e ^ { 4 t }\)
• D) \(- 2 e ^ { 4 t }\)
• E) \(15 e ^ { 4 t }\)

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Definitions:

Coefficient

A numerical or constant factor in an algebraic expression that represents the magnitude of some variable's effect.

Variation

The measure of the spread or dispersion of a set of data points or values in a dataset.

Random Variable

A variable whose possible values are numerical outcomes of a random phenomenon.

Stock Investment

The purchase of shares in a company with the expectation of earning dividends or selling the shares at a higher price in the future.