Describe the Procedure for Finding the General Solution of a System

question 12

Multiple Choice

Describe the procedure for finding the general solution of a system of three linear equations involving p, q, and r if its reduced matrix indicate has one row of zeros at the bottom. You may assume that the coefficients in the augmented matrix correspond to variables in alphabetical order from left to right. ​

• A)Use the reduced matrix to find equations for each variable p, q, and r. These equations can be used as the general solution to the system of equations.
• B)Use the reduced matrix to find a general equation for p in terms of q and r. This equation can be used as the general solution to the system of equations.
• C)Use the reduced matrix to solve for p and q in terms of r. These solutions will be valid for any real value of r.
• D)Use the reduced matrix to solve for r in terms of p and q. This solution will be valid for any real value of p and q.
• E)It is not possible to find a general solution for a system of three linear equations if its reduced matrix indicates an infinite number of solutions.

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Definitions:

Controlled Processing

A type of cognitive processing that requires conscious, deliberate thought and is typically used in situations requiring attention to detail and complex problem-solving.

Doctrine of Behaviorism

A theory in psychology that focuses on studying observable behaviors rather than the mental processes behind them, and believes that behaviors are learned from the environment.

Social Psychology

A branch of psychology that deals with understanding how individual thoughts, feelings, and behaviors are influenced by the actual, imagined, or implied presence of others.

Freudian Theory

A set of psychoanalytic theories developed by Sigmund Freud that emphasizes unconscious motives and conflicts, including the roles of the id, ego, and superego.