Use Matrices and Gauss-Jordan Elimination to Solve Systems
Solve the System

question 73

Multiple Choice

Use Matrices and Gauss-Jordan Elimination to Solve Systems
Solve the system of equations using matrices. Use Gauss-Jordan elimination.
- $$\begin{aligned}3 x + 5 y + 2 w & = - 12 \\2 x + 6 z - w & = - 5 \\- 2 y + 3 z - 3 w & = - 3 \\- x + 2 y + 4 z + w & = - 2\end{aligned}$$

• A) \(\{ ( - 1 , - 3,0,3 ) \}\)
• B) \(\{ ( 1 , - 3,0,3 ) \}\)
• C) \(\{ ( - 1,3,0 , - 3 ) \}\)
• D) \(\{ ( 1,3,0 , - 3 ) \}\)

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Definitions:

Secondary Circular Reactions

A developmental stage in infants from about 4 to 8 months characterized by intentional repetition of actions that produce effects on the environment.

Tertiary Circular Reactions

A stage in Piaget’s theory of cognitive development where toddlers (around 12 to 18 months) experiment with new actions to see the outcomes, demonstrating an early form of problem-solving.

Mental Representations

Internal cognitive symbols that represent external reality, which are used in the process of thinking and understanding the world.

Violation-of-Expectation

A method used in developmental psychology research to study infants' understanding of physical and social world by evaluating their reactions to surprising or unexpected events.