Write the Matrix in Reduced Row-Echelon Form $$\left[ \begin{array} { r r r r } 9 & - 6 & - 3 & - 33 \\8 & - 1 & 1 & - 47 \\- 7 & - 7 & 6 & - 8\end{array} \right]$$

question 37

Multiple Choice

Write the matrix in reduced row-echelon form. $$\left[ \begin{array} { r r r r } 9 & - 6 & - 3 & - 33 \\8 & - 1 & 1 & - 47 \\- 7 & - 7 & 6 & - 8\end{array} \right]$$

• A) \[\left[ \begin{array} { l l l l }
• 1 & 0 & 0 & 0 \\
• 0 & 1 & 0 & 0 \\
• 0 & 0 & 1 & 0
• \end{array} \right]\] ​
• B) \[\left[ \begin{array} { l l l r }
• 1 & 0 & 0 & - 5 \\
• 0 & 1 & 0 & - 6 \\
• 0 & 0 & 1 & 1
• \end{array} \right]\] ​
• C) \[\left[ \begin{array} { r r r r }
• 1 & 0 & 0 & - 6 \\
• 0 & 1 & 0 & 2 \\
• 0 & 0 & 1 & - 6
• \end{array} \right]\] ​
• D) \[\left[ \begin{array} { r r r r }
• 1 & 0 & 0 & - 5 \\
• 0 & 1 & 0 & 1 \\
• 0 & 0 & 1 & - 6
• \end{array} \right]\] ​
• E) \[\left[ \begin{array} { l l l l }
• 1 & 0 & 0 & 1 \\
• 0 & 1 & 0 & 1 \\
• 0 & 0 & 1 & 1
• \end{array} \right]\]

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Definitions:

Producer Surplus

The imbalance between the desired compensation by producers for a good or service and the real income they secure.

Binding Price Ceiling

A government-imposed limit on the price of a commodity or service that is set below the market equilibrium price, causing a shortage.

Binding Price Floor

A government-imposed price control set above the equilibrium price, causing a surplus by forcing the price to be higher than what the market would naturally set.

Deadweight Loss

A loss of economic efficiency that can occur when the equilibrium for a good or service is not achieved or is not achievable, typically resulting from taxes or price controls.