Write the Augmented Matrix for the System $$\left\{ \begin{array} { l } 9 x - 2 y + 6 z = 54 \\6 x + 2 y + 9 z = 51 \\5 x + 3 y + 2 z = 41\end{array} \right.$$

question 121

Multiple Choice

Write the augmented matrix for the system.
- $$\left\{ \begin{array} { l } 9 x - 2 y + 6 z = 54 \\6 x + 2 y + 9 z = 51 \\5 x + 3 y + 2 z = 41\end{array} \right.$$

• A) \(\left[ \begin{array} { r r r | r } 54 & 6 & - 2 & 9 \\ 51 & 9 & 2 & 6 \\ 41 & 2 & 3 & 5 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r | r } 9 & 6 & 5 & 54 \\ - 2 & 2 & 3 & 51 \\ 6 & 9 & 2 & 41 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r | r } 9 & - 2 & 6 \\ 6 & 2 & 9 \\ 5 & 3 & 2 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 9 & - 2 & 6 & 54 \\ 6 & 2 & 9 & 51 \\ 5 & 3 & 2 & 41 \end{array} \right]\)

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Definitions:

Aggregate Supply

The aggregate amount of products and services created in an economy at a specific price level during a particular time frame.

Adverse Supply Shock

An unexpected event that suddenly decreases the supply of a product or service, resulting in increased prices and reduced quantity.

Prices

The amount of money required to purchase a good, service, or asset, often influenced by supply and demand.

Short-run

A period in which at least one factor of production is fixed, limiting the ability of a business to fully adjust to market changes.