Find the Inverse of the Matrix, If It Exists
- $$A = \left[ \begin{array} { r r } - 3 & - 4 \\3 & - 4\end{array} \right]$$

question 48

Multiple Choice

Find the inverse of the matrix, if it exists
- $$A = \left[ \begin{array} { r r } - 3 & - 4 \\3 & - 4\end{array} \right]$$

• A) \[\left[ \begin{array} { r r } - \frac { 1 } { 8 } & \frac { 1 } { 6 } \\ - \frac { 1 } { 8 } & - \frac { 1 } { 6 } \end{array} \right]\]
• B) \(\left[\begin{array}{cc} -\frac{1}{6} & \frac{1}{6} \\ -\frac{1}{8} & -\frac{1}{8} \end{array}\right]\)
• D) \(\left[\begin{array}{c} -\frac{1}{6}-\frac{1}{6} \\ \frac{1}{8}-\frac{1}{8} \end{array}\right]\)

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Definitions:

Permutations

The arrangement of all or part of a set of objects, with regard to the order of the arrangement. For example, all possible orders in which a set of objects can be arranged.

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Response Combinations

The possible outcomes or sets of responses available in a study or experimental design, often observed in surveys, psychological experiments, or statistical analyses.

Political Policy

A plan or course of action, as of a government, political party, or business, intended to influence and determine decisions, actions, and other matters.