Determine Whether the System Corresponding to the Given Augmented Matrix

question 107

Multiple Choice

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is
consistent, give the solution.
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• A)consistent; x = 1, y = 5, z = -5; (1, 5, -5)
• B)consistent; x = 1, y = -5, z = 5; (1, -5, 5)
• C)consistent; x = -5, y = 5, z = 1; (-5, 5, 1)
• D)inconsistent

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Definitions:

Just-world Phenomenon

The cognitive bias to believe that the world is fundamentally fair, leading individuals to rationalize unjust situations by blaming the victims.

Ingroup Bias

The tendency to favor members of one's own group over those in other groups.

Scapegoat Theory

A psychological and sociological concept where individuals or groups are unfairly blamed for problems not of their making, often to deflect responsibility from the true sources.

Just-world Phenomenon

is the cognitive bias to believe that the world is fair and people get what they deserve, often used to rationalize injustice.