Perform the Indicated Row Operations on the Matrix $$\left[ \begin{array} { r r r } 1 & - 2 & - 3 \\2 & - 3 & - 1 \\1 & - 8 & - 33\end{array} \right]$$

question 21

Multiple Choice

Perform the indicated row operations on the matrix. Show the final result.
$$\left[ \begin{array} { r r r } 1 & - 2 & - 3 \\2 & - 3 & - 1 \\1 & - 8 & - 33\end{array} \right]$$
Add $- 2$ times $R _ { 1 }$ to $R _ { 2 }$ .
Add $- 1$ times $R _ { 1 }$ to $R _ { 3 }$ .

• A)
• \(\left[ \begin{array} { c c c }
• 1 & - 9 & - 36 \\
• 2 & - 3 & - 1 \\
• 1 & - 8 & - 33
• \end{array} \right]\)
• B)
• \(\left[ \begin{array} { c c c }
• 1 & - 2 & - 3 \\
• 0 & 1 & - 4 \\
• 0 & - 10 & - 36
• \end{array} \right]\)
• C)
• \(\left[ \begin{array} { c c c }
• 1 & - 2 & - 3 \\
• 0 & 1 & 5 \\
• 0 & - 6 & - 30
• \end{array} \right]\)
• D)
• \(\left[ \begin{array} { c c c }
• 1 & - 2 & - 3 \\
• - 3 & 4 & - 1 \\
• 0 & 6 & 30
• \end{array} \right]\)
• E)
• \(\left[ \begin{array} { c c c }
• 1 & - 2 & - 3 \\
• 0 & - 1 & 2 \\
• 0 & - 4 & - 29
• \end{array} \right]\)

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Definitions:

Distributive Justice

A principle concerned with the fair allocation of resources among diverse members of a community.

Libertarian

A political ideology favoring minimal state intervention in the personal and economic affairs of individuals, emphasizing freedom and voluntary association.

Egalitarian

Based on the principle that all people are equal and deserve equal rights and opportunities.

Equal Share

A division of assets, resources, or responsibilities among parties where each receives an identical portion or amount.