Find the Inverse, If It Exists $$A = \left( \begin{array} { c c } \frac { 2 } { 9 } & - \frac { 1 } { 13 } \\- 26 & 9\end{array} \right)$$

question 17

Multiple Choice

Find the inverse, if it exists. $$A = \left( \begin{array} { c c } \frac { 2 } { 9 } & - \frac { 1 } { 13 } \\- 26 & 9\end{array} \right)$$

• A) \(A ^ { - 1 } = \left( \begin{array} { c c }
• - 26 & 13 \\
• - 5 & 9
• \end{array} \right)\)
• B) \(A ^ { - 1 } = \left( \begin{array} { c c }
• 1 & 9 \\
• 2 & - 1
• \end{array} \right)\)
• C) \(A ^ { - 1 } = \left( \begin{array} { l l }
• - 1 & 5 \\
• - 2 & 1
• \end{array} \right)\)
• D) \(A ^ { - 1 } = \left( \begin{array} { c c }
• 11 & 6 \\
• 13 & - 8
• \end{array} \right)\)
• E) \(\text { The inverse does not exist. }\)

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Definitions:

Collectivism

A socio-cultural principle that prioritizes group goals over individual ones, emphasizing community, cooperation, and interdependence.

Personal Characteristics

Attributes or features that define an individual, including traits such as personality, attitudes, and abilities.

Individualism

A theory advocating for individual action freedom over group or governmental authority.

Collectivism

A cultural value that emphasizes the priority of group goals over individual goals and the importance of cohesion within social groups.