Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian $$\begin{aligned}5 x + 2 y + z & = - 11 \\2 x - 3 y - z & = 17 \\7 x - y & = 12\end{aligned}$$

question 25

Multiple Choice

Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian Elimination to Systems Without Unique Solutions
- $$\begin{aligned}5 x + 2 y + z & = - 11 \\2 x - 3 y - z & = 17 \\7 x - y & = 12\end{aligned}$$

• A) \(\varnothing\)
• B) \(\{ ( 0 , - 6,1 ) \}\)
• C) \(\{ ( - 2,0 , - 1 ) \}\)
• D) \(\{ ( 1 , - 5,0 ) \}\)

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Definitions:

Balance Theory

According to Heider, people prefer attitudes that are consistent with each other over those that are inconsistent. A person (P) tries to maintain consistency in attitudes to, and relationships with, other people (O) and elements of the environment (X).

Cognitions

The mental action or process of acquiring knowledge and understanding through thought, experience, and the senses.

Three-Component Model

A model in psychology that views attitude as having cognitive, affective, and behavioral components.

Attitudes

Psychological tendencies expressed by evaluating particular entities with some degree of favor or disfavor, reflecting how individuals think, feel, and are inclined to act.