Perform the Matrix Row Operation (Or Operations)and Write the New

question 24

Multiple Choice

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

• A)
• \(\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 2 \\ 0 & - 1 & 1 & - 3 & 0 \\ 1 & - 4 & 0 & - 9 & - 3 \\ 0 & 6 & - 2 & 4 & 3 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 2 \\ 0 & - 1 & 1 & - 3 & 0 \\ 1 & - 4 & 0 & - 9 & - 3 \\ - 2 & 4 & 0 & 2 & - 1 \end{array} \right]\)
• C)
• \[\left[ \begin{array} { r r r r | r }
• 1 & 1 & - 1 & 1 & 2 \\
• 0 & - 1 & 1 & - 3 & 0 \\
• 9 & 4 & - 8 & - 1 & 13 \\
• 0 & 6 & - 2 & 4 & 3
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r r r | r }
• 1 & 1 & - 1 & 1 & 2 \\
• 0 & - 1 & 1 & - 3 & 0 \\
• 1 & - 4 & 0 & - 9 & 1 \\
• 0 & 6 & - 2 & 4 & 3
• \end{array} \right]\]

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Definitions:

Fixed Costs

Constant expenses that remain stable regardless of changes in the business activity level, playing a crucial role in budgeting and financial planning.

Variable Cost

Costs that change in proportion to the volume of goods or services produced.

Trucking Department

A division within a company that is responsible for the transportation and delivery of goods, typically using trucks.

Variable Costs

Expenses that change in proportion to the activity or volume of business, such as materials and labor costs.