Solve the System of Equations by Using the Inverse of the Coefficient

question 87

Multiple Choice

Solve the system of equations by using the inverse of the coefficient matrix if it exists and by the echelon method if the inverse doesn't exist.
- $$\begin{array}{l}3 x-6 y=-3 \\6 x-12 y=-9\end{array}$$

• A) No inverse, no solution for system
• B) \( (2,2) \)
• C) \( (-3,-9) \)
• D) No inverse, \( \left(-1-\frac{1}{2} y, y\right) \)

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Definitions:

Preoperational

Referring to Piaget's stage of cognitive development in children aged 2-7, characterized by symbolic thinking and difficulty understanding others' perspectives.

Secondary Circular Reaction

A stage in Piaget's theory of cognitive development where infants (4-8 months) repeat actions to get desired outcomes, showing the beginning of intentional behavior.

Tertiary Circular Reaction

A concept in cognitive development referring to a stage in Piaget's model where infants 12-18 months old purposefully experiment with different actions to observe outcomes.

Holophrases

Single-word expressions used by infants that convey a complete thought or idea.