Use the Given Row Transformation to Change the Matrix as Indicated

question 326

Multiple Choice

Use the given row transformation to change the matrix as indicated.
- $\left[ \begin{array} { r r r } 3 & 5 & 12 \\ 2 & 1 & 2 \\ 4 & - 1 & 4 \end{array} \right] ; - 2$ times row 2 added to row 3

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

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Definitions:

Unemployment Rate

The segment of the workforce that is out of work and actively pursuing job opportunities.

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Inflation that occurs when there is a difference between expected and actual inflation, often causing economic distortions.

Savers

Individuals who allocate part of their income to a savings account or other forms of investment for future use, rather than spending it immediately.

Borrowers

Individuals or entities that take out loans from financial institutions or individuals, typically agreeing to pay back the original amount plus interest.