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

question 185

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

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Definitions:

Non-Renewable Resources

Natural resources that cannot be replenished or that take millions of years to form, such as fossil fuels and minerals.

Exhausted

describes a state of extreme tiredness or fatigue, often resulting from physical or mental activity.

Depleted

Reduced in quantity or exhausted; often used in context with natural resources.

Point Source

A single, identifiable source of pollution, such as a pipe or a drain, from which pollutants are discharged.