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

question 10

Multiple Choice

Determine the inverse of the given matrix, if possible. Otherwise, state the matrix is singular.
- $$A = \left[ \begin{array} { l l } - 3 & 4 \\- 5 & 3\end{array} \right]$$

• A) \(A ^ { - 1 } = \left[ \begin{array} { c c } \frac { 3 } { 11 } & \frac { 4 } { 11 } \\ - \frac { 5 } { 11 } & - \frac { 3 } { 11 } \end{array} \right]\)
• B) \(A ^ { - 1 } = \left[ \begin{array} { c c } \frac { 3 } { 11 } & - \frac { 4 } { 11 } \\ \frac { 5 } { 11 } & - \frac { 3 } { 11 } \end{array} \right]\)
• C) Singular matrix
• D) \(A ^ { - 1 } = \left[ \begin{array} { c c } - \frac { 3 } { 11 } & \frac { 4 } { 11 } \\ - \frac { 5 } { 11 } & \frac { 3 } { 11 } \end{array} \right]\)

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Definitions:

Social Interest

A concept in Adlerian psychology referring to an individual's attitude towards and concern for the welfare of others.

Inferiority

A feeling of being less than, inadequate, or not meeting the standards set by oneself or society.

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A sense or condition of being above or better than others, often manifesting in social, physical, or psychological domains.

Mature Early

To mature early means to reach a stage of mental, emotional, or physical development sooner than is typical for one's age group, displaying attributes or behaviors commonly found in older individuals.