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)
• \(\left[ \begin{array} { r r r } - 1 & 3 & 8 \\ 2 & 1 & 2 \\ 4 & - 1 & 4 \end{array} \right]\)

---

Definitions:

Demand Curve

A graph showing the relationship between the quantity of a good consumers are willing to buy and its price.

Marginal Cost

The cost incurred by producing one additional unit of the product.

Monopolist

A Monopolist is a sole provider of a product or service in a market, facing no competition and having the power to control prices and market supply.

Perfect Price Discrimination

A pricing strategy where a seller charges each buyer their maximum willingness to pay, capturing the entire consumer surplus.