Apply Gaussian Elimination to Systems with More Variables Than Equations $$\begin{array} { r } 3 x + y + z - 2 w = 10 \\2 x + 3 y + 3 z + w = - 5 \\2 x + y + 4 z + 11 w = 11\end{array}$$

question 47

Multiple Choice

Apply Gaussian Elimination to Systems with More Variables than Equations
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { r } 3 x + y + z - 2 w = 10 \\2 x + 3 y + 3 z + w = - 5 \\2 x + y + 4 z + 11 w = 11\end{array}$$

• A) \(\{ ( w + 5,3 w - 7 , - 4 w + 2 , w ) \}\)
• B) \(\{ ( 2 w + 3,6 w - 7 , - 10 w + 8 , w ) \}\)
• C) \(\{ ( 6 , - 4 , - 2,1 ) \}\)
• D) \(\{ ( 7 , - 1 , - 6,2 ) \}\)

---

Definitions:

Impermanence

The philosophical and practical understanding that all things are transient and subject to change.

Strategic Alliance

A partnership that organizations join to pursue an area of mutual interest.

Business Agreement

A formal arrangement between two or more parties outlining terms and conditions related to business activities.

Joint Venture

A venture that operates in a foreign country through co-ownership by foreign and local partners.