Find the Inverse of the Matrix $$\left[ \begin{array} { r r } 0 & - 3 \\- 3 & - 6\end{array} \right]$$

question 18

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r } 0 & - 3 \\- 3 & - 6\end{array} \right]$$

• A) \(\left[ \begin{array} { l l } \frac { 2 } { 3 } & \frac { 1 } { 3 } \\ \frac { 1 } { 3 } & 0 \end{array} \right]\)
• B) \(\left[ \begin{array} { c c } - \frac { 1 } { 3 } & 0 \\ \frac { 2 } { 3 } & - \frac { 1 } { 3 } \end{array} \right]\)
• C) \(\left[ \begin{array} { r r } 0 & - \frac { 1 } { 3 } \\ - \frac { 1 } { 3 } & \frac { 2 } { 3 } \end{array} \right]\)
• D) \(\left[ \begin{array} { r r } \frac { 2 } { 3 } & - \frac { 1 } { 3 } \\ - \frac { 1 } { 3 } & 0 \end{array} \right]\)

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Definitions:

Labor

Human input, involving both muscle and mind work, in the output of goods and services.

Production Function

A model that defines the maximum output that can be produced with a given set of inputs under current technology.

Plastic

A wide range of synthetic or semi-synthetic materials that are used in the production of industrial products, packaging, and consumer items.

Wood

A hard, fibrous material made from trees or shrubs, often used for construction, furniture, and fuel among other applications.