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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