Use Matrices and Gauss-Jordan Elimination to Solve Systems
- $$\begin{array} { c } x + y - z + w = - 5 \\3 x - y + 3 z - 2 w = 7 \\- 2 x + 2 y + z - w = 16 \\- x - 2 y - 3 z + 3 w = - 22\end{array}$$

question 99

Multiple Choice

Use Matrices and Gauss-Jordan Elimination to Solve Systems
- $$\begin{array} { c } x + y - z + w = - 5 \\3 x - y + 3 z - 2 w = 7 \\- 2 x + 2 y + z - w = 16 \\- x - 2 y - 3 z + 3 w = - 22\end{array}$$

• A) \(\{ ( - 2,3,4 , - 2 ) \}\)
• B) \(\left\{ \left( - 2 , - 3,5 , \frac { 1 } { 2 } \right) \right\}\)
• C) \(\{ ( 2 , - 3 , - 4 , - 2 ) \}\)
• D) \(\left\{ \left( \frac { 1 } { 2 } , - \frac { 1 } { 3 } , - \frac { 1 } { 4 } , - \frac { 1 } { 2 } \right) \right\}\)

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Definitions:

Group Conformity

The phenomenon where individuals adjust their behaviors, attitudes, or beliefs to match those of the group to which they belong, often due to real or perceived pressure.

Group Size

The number of individuals forming a social group or gathering, which can influence the group's dynamics, interactions, and outcomes.

Specific Purpose

A distinct aim or objective for which something is used, created, or exists.

In-Group

A social group to which a person psychologically identifies as being a member, often characterized by a sense of loyalty and exclusivity.