Find the Inverse of the Matrix $$\left[ \begin{array} { r r } 2 & 5 \\- 5 & - 3\end{array} \right]$$

question 48

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r } 2 & 5 \\- 5 & - 3\end{array} \right]$$

• A) \(\left[ \begin{array} { c c } - \frac { 3 } { 19 } & - \frac { 5 } { 19 } \\ \frac { 5 } { 19 } & \frac { 2 } { 19 } \end{array} \right]\)
• B) \(\left[ \begin{array} { c c } - \frac { 3 } { 19 } & \frac { 5 } { 19 } \\ - \frac { 5 } { 19 } & \frac { 2 } { 19 } \end{array} \right]\)
• C) \(\left[ \begin{array} { l } \frac { 2 } { 19 } - \frac { 5 } { 19 } \\ \frac { 5 } { 19 } - \frac { 3 } { 19 } \end{array} \right]\)
• D) \(\left[ \begin{array} { c c } \frac { 5 } { 19 } & \frac { 2 } { 19 } \\ - \frac { 3 } { 19 } & - \frac { 5 } { 19 } \end{array} \right]\)

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Definitions:

Objective Function

A mathematical function used in decision-making, optimization, or problem-solving that specifies the objective to be maximized or minimized.

Maximize Contribution

A financial strategy or goal to increase the difference between total sales and total variable costs to maximize the profit contributed towards fixed costs and earnings.

Unbounded Maximizing

A type of optimization problem where the goal is to find the highest possible value of an objective function without upper limits.

Constraints

Limitations or restrictions that affect the performance, capability, or efficiency of a process, system, or project.