Perform the Row Operation(s) on the Given Augmented Matrix A) $\left[ \begin{array} { r r | r } 1 & - 1 & - 2 \\ 2 & 1 & - \frac { 5 } { 2 } \end{array} \right]$

question 49

Multiple Choice

Perform the row operation(s) on the given augmented matrix.
- $$\begin{array} { l } \mathrm { R } _ { 1 } = \frac { 1 } { 2 } \mathrm { r } 1 \\{ \left[ \begin{array} { r r | r } 2 & - 2 & - 4 \\4 & 2 & - 5\end{array} \right] }\end{array}$$

• A) \(\left[ \begin{array} { r r | r } 1 & - 1 & - 2 \\ 2 & 1 & - \frac { 5 } { 2 } \end{array} \right]\)
• B) \(\left[ \begin{array} { r r | r } 1 & - 1 & - 4 \\ 4 & 2 & - 5 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r | r } 1 & - 1 & - 2 \\ 5 & 1 & - 7 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r | r } 1 & - 1 & - 2 \\ 4 & 2 & - 5 \end{array} \right]\)

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Definitions:

Tension

A state of mental or emotional strain resulting from challenging or demanding circumstances.

Procedures

Established ways of doing things, including steps and actions taken to accomplish tasks, typically outlined to maintain consistency and efficiency.

Positive Inequity

A situation in social psychology where an individual perceives that they are receiving more than they believe they deserve compared to others, impacting motivation and satisfaction.

Negative Inequality

Refers to situations where resources or benefits are distributed among individuals or groups in a way that is perceived as unfairly disadvantageous.