Find the Inverse Matrix of A $$A = \left[ \begin{array} { r r r r } 0 & 5 & 0 & - 5 \\4 & 15 & - 2 & - 10 \\8 & 10 & - 4 & - 5 \\12 & 0 & - 4 & 0\end{array} \right]$$

question 121

Multiple Choice

Find the inverse matrix of A.
- $$A = \left[ \begin{array} { r r r r } 0 & 5 & 0 & - 5 \\4 & 15 & - 2 & - 10 \\8 & 10 & - 4 & - 5 \\12 & 0 & - 4 & 0\end{array} \right]$$

• A)
• \[\left[ \begin{array} { r r r r }
• - \frac { 1 } { 2 } & - \frac { 3 } { 5 } & - \frac { 3 } { 2 } & - \frac { 4 } { 5 } \\
• \frac { 1 } { 2 } & \frac { 2 } { 5 } & \frac { 3 } { 2 } & \frac { 1 } { 5 } \\
• - \frac { 1 } { 2 } & - \frac { 1 } { 5 } & - \frac { 3 } { 2 } & - \frac { 1 } { 5 } \\
• \frac { 1 } { 4 } & 1 & \frac { 1 } { 2 } & - 1
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r r }
• - \frac { 1 } { 2 } & - \frac { 3 } { 5 } & - \frac { 3 } { 2 } & - \frac { 4 } { 5 } \\
• \frac { 1 } { 2 } & \frac { 2 } { 5 } & \frac { 3 } { 2 } & \frac { 1 } { 5 } \\
• - \frac { 1 } { 2 } & - \frac { 1 } { 5 } & - \frac { 3 } { 2 } & - \frac { 1 } { 5 } \\
• \frac { 1 } { 4 } & 0 & \frac { 1 } { 2 } & 0
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r r }
• \frac { 1 } { 2 } & - \frac { 1 } { 2 } & \frac { 1 } { 2 } & - \frac { 1 } { 4 } \\
• \frac { 3 } { 5 } & - \frac { 2 } { 5 } & \frac { 1 } { 5 } & 0 \\
• \frac { 3 } { 2 } & - \frac { 3 } { 2 } & \frac { 3 } { 2 } & \frac { 1 } { 2 } \\
• - \frac { 2 } { 5 } & - \frac { 2 } { 5 } & \frac { 1 } { 5 } & 0
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { c c c c }
• - \frac { 1 } { 2 } & \frac { 1 } { 2 } & - \frac { 1 } { 2 } & \frac { 1 } { 4 } \\
• - \frac { 3 } { 5 } & \frac { 2 } { 5 } & - \frac { 1 } { 5 } & 0 \\
• - \frac { 3 } { 2 } & \frac { 3 } { 2 } & - \frac { 3 } { 2 } & \frac { 1 } { 2 } \\
• - \frac { 4 } { 5 } & \frac { 2 } { 5 } & - \frac { 1 } { 5 } & 0
• \end{array} \right]\]

Apply transformations to geometric figures on the coordinate plane.

Solve linear equations and inequalities graphically and algebraically.

Graph linear equations and identify properties such as slope and intercepts.

Estimate intercepts and other key graph features from graphical representations.

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Definitions:

Basic Consumer Theory

A concept in economics that analyzes consumer choices and behaviors based on preferences, budget constraints, and utility maximization.

Consumer Behavior

The study of how individuals, groups, and organizations select, buy, use, and dispose of goods, services, ideas, or experiences.

Product Reliability

The probability that a product will function without failure over a specified period under stated conditions.

Framing

Tendency to rely on the context in which a choice is described when making a decision.