Solve the System by Using the Gauss-Jordan Method $$\begin{aligned}2 x - 3 y - 9 z & = 12 \\4 x + 5 y - 6 z & = - 14 \\- 5 x + 3 y - 9 z & = 21\end{aligned}$$

question 8

Multiple Choice

Solve the system by using the Gauss-Jordan method.
$$\begin{aligned}2 x - 3 y - 9 z & = 12 \\4 x + 5 y - 6 z & = - 14 \\- 5 x + 3 y - 9 z & = 21\end{aligned}$$

• A) \(\left( - 6 , - 4 , - \frac { 4 } { 3 } \right)\)
• B) \(\left( - 3 , - 2 , - \frac { 4 } { 3 } \right)\)
• C) \(( - 3,7 , - 5 )\)
• D) No solution; inconsistent system

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Definitions:

Psychodynamic Self

A concept in psychology that encompasses the dynamic, internal processes, motivations, and conflicts within the individual as influenced by unconscious factors.

Self-Affirmation

is the practice of reminding oneself of personal values and strengths in order to maintain a positive self-image and cope with threats to one's self-concept.

Achievement Motivation

The drive or desire for success and accomplishment, often pushing individuals to attain higher levels of performance.

Self-Verification

The theory suggesting individuals seek to confirm their self-concept by encouraging others to see them as they see themselves.