A System of Equations May Have a Unique Solution, an Infinite

question 9

Multiple Choice

A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the following system, if a solution exists.

• A) , , , for any real number z.
• B) , ,
• C) , ,
• D) , ,
• E) no solution

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Definitions:

Permanence

The state or quality of lasting or remaining unchanged indefinitely.

Coordination of Secondary Schemes

A developmental stage in infants around 8-12 months where they begin to combine learned behaviors in new ways.

Tertiary Circular

Relates to a stage in Piaget’s theory of cognitive development involving the purposeful adaptation of established behaviors in new contexts, observed in toddlers.

Mental Combinations

The cognitive process of putting together distinct ideas or concepts to form new knowledge or understanding.