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:

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