Perform the Matrix Row Operation (Or Operations)and Write the New $\left[ \begin{array} { r r r | r } 1 & - 4 & 1 & 3 \\ - 5 & 0 & 3 & - 3 \\ - 1 & 2 & - 2 & - 1 \end{array} \right] - 3 R _ { 1 } + R _ { 2 }$

question 146

Multiple Choice

Perform the matrix row operation (or operations) and write the new matrix.
- $\left[ \begin{array} { r r r | r } 1 & - 4 & 1 & 3 \\ - 5 & 0 & 3 & - 3 \\ - 1 & 2 & - 2 & - 1 \end{array} \right] - 3 R _ { 1 } + R _ { 2 }$

• A)\( \left[\begin{array}{rrr|r}1 & -4 & 1 & 3 \\ -8 & 12 & 0 & -12 \\ -1 & 2 & -2 & -1\end{array}\right] \)
• B)\( \left[\begin{array}{ccc|c}1 & -4 & 1 & 3 \\ -2 & -12 & 6 & 6 \\ -1 & 2 & -2 & -1\end{array}\right] \)
• C)\( \left[\begin{array}{rrr|r}16 & -4 & -8 & 12 \\ -5 & 0 & 3 & -3 \\ -1 & 2 & -2 & -1\end{array}\right] \)
• D)\( \left[\begin{array}{ccc|c}-8 & 12 & 0 & -12 \\ -5 & 0 & 3 & -3 \\ -1 & 2 & -2 & -1\end{array}\right] \)

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Definitions:

Arts and Crafts Movement

A late 19th and early 20th-century movement advocating for traditional craftsmanship using simple forms and opposing industrial mass production.

Mass Production

The manufacturing of large quantities of standardized products, often on assembly lines, enabling efficiencies and lower costs of goods.

Trade Unions

Organizations formed by workers from related fields that work for the common interest of its members in terms of wages, work conditions, and benefits.

Late-Nineteenth Century

The late-nineteenth century is the period from 1871 to 1900, characterized by rapid industrialization, colonial expansion, and significant cultural and technological advancements.