Evaluate the Determinant $$\left | \begin{array} { c c } e ^ { 7 x } & e ^ { 4 x } \\7 e ^ { 7 x } & 4 e ^ { 4 x }\end{array} \right |$$

question 21

Multiple Choice

Evaluate the determinant $$\left | \begin{array} { c c } e ^ { 7 x } & e ^ { 4 x } \\7 e ^ { 7 x } & 4 e ^ { 4 x }\end{array} \right |$$ in which the entries are functions.

• A) \(- 3 e ^ { 11 x }\)
• B) \(\frac { 7 } { 4 } e ^ { 28 x }\)
• C) \(\frac { 4 } { 7 } e ^ { 11 x }\)
• D) \(- 3 e ^ { 28 x }\)
• E) \(- \frac { 3 } { 7 } e ^ { 11 x }\)

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