Determine the Inverse of the Given Matrix, If Possible A) $A ^ { - 1 } = \left[ \begin{array} { l l l } 3 & - 1 & 2 \\ 4 & - 3 & 2 \\ 1 & - 5 & 2 \end{array} \right]$

question 23

Multiple Choice

Determine the inverse of the given matrix, if possible. Otherwise, state the matrix is singular.
- $A = \left[ \begin{array} { c c c } - \frac { 1 } { 4 } & - \frac { 1 } { 2 } & - \frac { 1 } { 4 } \\- \frac { 3 } { 8 } & - \frac { 1 } { 4 } & \frac { 1 } { 8 } \\\frac { 17 } { 16 } & \frac { 7 } { 8 } & \frac { 5 } { 16 }\end{array} \right]$

• A) \(A ^ { - 1 } = \left[ \begin{array} { l l l } 3 & - 1 & 2 \\ 4 & - 3 & 2 \\ 1 & - 5 & 2 \end{array} \right]\)
• B) \(A ^ { - 1 } = \left[ \begin{array} { l l l } 3 & - 4 & 1 \\ 1 & - 3 & 5 \\ 2 & - 2 & 2 \end{array} \right]\)
• C) \(A ^ { - 1 } = \left[ \begin{array} { r r r } 3 & 1 & 2 \\ - 4 & - 3 & - 2 \\ 1 & 5 & 2 \end{array} \right]\)
• D) Singular matrix

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Definitions:

Narcissistic Personality Tendencies

Characteristics reflecting a personality style with a focus on oneself, often showing patterns of grandiosity, a need for admiration, and a lack of empathy.

Honor Killing

Killing another individual who has brought “dishonor” to the family (e.g., a woman who has committed adultery).

Grandiose

Characterized by exaggeration or affected grandeur; having an unrealistic sense of superiority.

Self-Esteem

The confidence and value that a person places on themselves, reflecting how they perceive and evaluate their own worth.