Find the Inverse of the Matrix $$\left[ \begin{array} { c c } - 16 & 22 \\- 8 & 11\end{array} \right]$$

question 9

Multiple Choice

Find the inverse of the matrix $$\left[ \begin{array} { c c } - 16 & 22 \\- 8 & 11\end{array} \right]$$ (if it exists) .

• A)does not exist
• B)​ \(- \frac { 1 } { 16 }\) \(\left[ \begin{array} { c c }
• 11 & - 22 \\
• 8 & - 16
• \end{array} \right]\)
• C)​ \(\frac { 1 } { 11 }\) \(\left[ \begin{array} { c c }
• - 16 & 22 \\
• - 8 & 11
• \end{array} \right]\)
• D)​ \(- \frac { 1 } { 22 }\) \(\left[ \begin{array} { c c }
• - 11 & 22 \\
• - 8 & 16
• \end{array} \right]\)
• E)​ \(\frac { 1 } { 8 }\) \(\left[ \begin{array} { c c }
• 11 & - 22 \\
• 8 & - 16
• \end{array} \right]\)

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Definitions:

Hostility

Feelings of anger, aggression, and resentment that may result from frustration or perceived threats, often leading to confrontational behavior.

Factions

Subgroups within a larger group that have distinct interests or viewpoints, often causing division or conflict.

Contact Hypothesis

A theory suggesting that interpersonal contact is one of the most effective ways to reduce prejudice between majority and minority group members.

Pettigrew

Thomas F. Pettigrew is a social psychologist known for his research on racism, intergroup contact theory, and social identity.