Find All Solutions of the System $$\left\{ \begin{aligned}- x + y + z + w & = 12 \\2 y - z - w & = 7 \\2 z + 5 w & = 18 \\11 w & = 44\end{aligned} \right.$$

question 8

Multiple Choice

Find all solutions of the system. $$\left\{ \begin{aligned}- x + y + z + w & = 12 \\2 y - z - w & = 7 \\2 z + 5 w & = 18 \\11 w & = 44\end{aligned} \right.$$

• A) \(( 4,1 , - 5 , - 4 )\)
• B) \(( - 4,5 , - 1,4 )\)
• C) \(( 5 , - 1 , - 4,4 )\)
• D) \(\text { The system is dependent. }\)
• E) \(\text { The system is inconsistent. }\)

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Definitions:

Behavioural Uniformities

Consistent and predictable patterns of behavior displayed by individuals across different situations or cultures.

Group Membership

The association or identification of an individual with a group, based on shared characteristics, goals, or interests.

Social Attraction

Liking for someone based on common group membership and determined by the person’s prototypicality of the group.

Hogg's Model

A social identity theory related model that explains how perceived uncertainty in groups can lead to stronger identification with and conformity to group norms.