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

question 234

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) \(\left[ \begin{array} { r r } - \frac { 1 } { 3 } & 0 \\ \frac { 2 } { 3 } & - \frac { 1 } { 3 } \end{array} \right]\)
• 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:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

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A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

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Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.