Find the Determinant of the Matrix $\left[ \begin{array} { l l } \frac { 3 } { 2 } & \frac { 1 } { 2 } \\\\\frac { 2 } { 3 } & 2\end{array} \right]$

question 6

Multiple Choice

Find the determinant of the matrix $\left[ \begin{array} { l l } \frac { 3 } { 2 } & \frac { 1 } { 2 } \\\\\frac { 2 } { 3 } & 2\end{array} \right]$ , if it exists

• A) \(\frac { 8 } { 5 }\)
• B) \(6\)
• C) \(- \frac { 8 } { 3 }\)
• D) \(\frac { 1 } { 4 }\)
• E) \(\frac { 8 } { 3 }\)

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Definitions:

Identical Units

Units that are uniform in every aspect, including features, quality, and performance, typically used in manufacturing and inventory contexts.

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Process Cost System

A financial recording system designed to allocate expenses to identical items produced in bulk through an ongoing process.

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A facility that processes raw natural gas to remove impurities, contaminants, and any other components before it can be used as fuel or further processed.