Evaluate the Determinant of the Matrix Below to Determine Which $\left| \begin{array} { c c } w & - 4 x \\- 9 y & z\end{array} \right| =$

question 31

Multiple Choice

Evaluate the determinant of the matrix below to determine which of the following makes the equation true. $\left| \begin{array} { c c } w & - 4 x \\- 9 y & z\end{array} \right| =$

• A) \(\left| \begin{array} { c c }
• - w & 4 x \\
• - 9 y & z
• \end{array} \right|\)
• B) \(- \left | \begin{array} { c c }
• - z & 4 x \\
• - 9 y & - w
• \end{array} \right |\)
• C) \(- \left | \begin{array} { c c }
• w & - 4 x \\
• - 9 y & z
• \end{array} \right |\)
• D) \(- \left| \begin{array} { c c }
• - 9 y & z \\
• w & - 4 x
• \end{array} \right|\)
• E) \(\left| \begin{array} { c c }
• - z & 4 x \\
• - 9 y & w
• \end{array} \right|\)

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Definitions:

Gross Primary Productivity

The total rate at which an ecosystem's producers, like plants, convert solar energy into chemical energy in the form of biomass.

Photosynthesis

A method by which plants and other organisms transform light energy, often from the sun, into chemical energy that can subsequently be utilized to power the organism's functions.

Third Trophic Level

The level in an ecosystem's food chain occupied by secondary consumers, which eat primary consumers.

Herbivore

An animal that feeds on plants or algae. Also called primary consumer.