Determine the Inverse of the Given Matrix, If Possible $$A = \left[ \begin{array} { r r } - 5 & - 4 \\- 25 & - 20\end{array} \right]$$

question 79

Multiple Choice

Determine the inverse of the given matrix, if possible. Otherwise, state the matrix is singular.
- $$A = \left[ \begin{array} { r r } - 5 & - 4 \\- 25 & - 20\end{array} \right]$$

• A) \(A ^ { - 1 } = \left[ \begin{array} { c c } \frac { 1 } { 8 } & \frac { 1 } { 10 } \\ - \frac { 1 } { 8 } & - \frac { 1 } { 8 } \end{array} \right]\)
• B) Singular matrix
• C) \(A ^ { - 1 } = \left[ \begin{array} { c c } \frac { 1 } { 8 } & - \frac { 1 } { 10 } \\ \frac { 1 } { 8 } & - \frac { 1 } { 8 } \end{array} \right]\)
• D) \(A ^ { - 1 } = \left[ \begin{array} { r r } - \frac { 1 } { 8 } & - \frac { 1 } { 10 } \\ \frac { 1 } { 8 } & \frac { 1 } { 8 } \end{array} \right]\)

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Definitions:

Perceptions Of National Character

Beliefs or stereotypes about the typical characteristics, behaviors, and traits of the people in a particular nation.

Reference-Group Effects

The influence of perceived group norms and values on an individual's behavior, attitudes, and perceptions.

Social Norms

Unwritten rules or standards of behavior that are considered acceptable in a group or society.

Cross-Sectional Perspectives

Analyses or observations made at a single point in time, often used to compare different population groups simultaneously.