Choose the One Alternative That Best Completes the Statement or Answers

question 54

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Evaluate the determinant of the given matrix.
- $$A = \left[ \begin{array} { c c } e ^ { x } & e ^ { 9 x } \\6 & - e ^ { 8 x }\end{array} \right]$$

• A) \(- 7 e ^ { 9 x }\)
• B) \(- e ^ { 8 x } - 6 e ^ { 9 x }\)
• C) \(- 5 e ^ { 9 x }\)
• D) \(7 e ^ { 9 x }\)

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Definitions:

Major Depression Disorder

A mental disorder characterized by a persistent and intense feeling of sadness or despair and/or a lack of interest in things that once brought joy, affecting daily functioning.

Generalized Anxiety Disorder

A mental health disorder characterized by persistent and excessive worry about a number of different things, leading to significant distress or impairment in functioning.

Compulsion

A psychological phenomenon where individuals feel the urgent need to perform certain behaviors or rituals irrationally.

Obsession

An uncontrollable and persistent thought, idea, or feeling that dominates a person's mind.