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:

Foot-In-The-Door Phenomenon

A psychological strategy where getting a person to agree to a small request increases the likelihood they will agree to a larger request later.

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The process of critically assessing and examining a matter to reach a decision.

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The state of peace, smooth functioning, and lack of conflict in a society or group, often achieved through shared norms and values.

Social Position

The rank or status of an individual within the structure of a society, often determined by occupation, wealth, or social standing.