Perform the Elementary Row Operation on the Given Matrix $3 R _ { 2 } + R _ { 1 } \rightarrow R _ { 1 }$

question 34

Multiple Choice

Perform the elementary row operation on the given matrix.
- $3 R _ { 2 } + R _ { 1 } \rightarrow R _ { 1 }$
$\left[ \begin{array} { r r | r } 4 & 5 & 1 \\- 2 & - 7 & - 1\end{array} \right]$

• A) \( \left[\begin{array}{rr|r}2 & -2 & 0 \\ -2 & -7 & -1\end{array}\right] \)
• B) \( \left[\begin{array}{rr|r}-10 & -26 & -4 \\ -2 & -7 & -1\end{array}\right] \)
• C) \( \left[\begin{array}{rr|r}-2 & -16 & -2 \\ -2 & -7 & -1\end{array}\right] \)
• D) \( \left[\begin{array}{rr|r}4 & 5 & 1 \\ 10 & 8 & 2\end{array}\right] \)

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Definitions:

Technology Improvement

Enhancements or advancements in technology that lead to more efficient processes or better quality outcomes.

MC

Stands for Marginal Cost, which is the cost incurred by producing one additional unit of a good or service.

Output

The quantity of goods or services produced within a given time period by a firm, sector, or economy.

U-Shaped Marginal Cost

A graphical representation of the cost incurred to produce one more unit of a good, which decreases at first due to increasing returns but eventually increases due to decreasing returns.