Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { l l l } 1 & 0 & 8 \\ 1 & 2 & 3 \\ 2 & 5 & 3 \end{array} \right]$

question 293

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $\left[ \begin{array} { l l l } 1 & 0 & 8 \\ 1 & 2 & 3 \\ 2 & 5 & 3 \end{array} \right]$

• A) The inverse does not exist.
• B)
• \[\left[ \begin{array} { r r r }
• 9 & - 40 & 16 \\
• - 3 & 13 & - 5 \\
• - 1 & 5 & - 2
• \end{array} \right]\]
• C)
• \(\left[ \begin{array} { l l l } 1 & 1 & 2 \\ 0 & 2 & 5 \\ 8 & 3 & 3 \end{array} \right]\)
• D)
• \[\left[ \begin{array} { r r r }
• - 1 & 0 & - 8 \\
• - 1 & - 2 & - 3 \\
• - 2 & - 5 & - 3
• \end{array} \right]\]

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Definitions:

Resource Demand

The demand for resources (inputs) required to produce goods and services, influenced by changes in output and productivity.

Purely Competitive

A market structure characterized by a large number of small firms, homogenous products, free entry and exit, and perfect information, leading to firms being price takers.

Marginal Revenue Product

The additional income yielded by deploying one more unit of a component, for instance, labor or capital.

Economic Resource

An asset that is used in the production of goods and services, including natural, human, and capital resources.