Inconsistent and Dependent Systems of Equations in Three Variables [6.3] 1. The following systems of equations are either dependent or inconsistent. It is important to be able to recognize these when solving, and to know how to express your answer Dependent systems have a solution set, which can be expressed using a parameter, as an ordered triple. Inconsistent systems have no solution. Solve the following systems using elimination methods found in section 6.3 and be sure to parameterize any dependent solutions. 2x 3y - z 5 a. 2x +3y - 4z-6

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2BEXP
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Inconsistent and Dependent Systems of Equations in Three Variables [6.3]
1. The following systems of equations are either dependent or inconsistent. It is important to
be able to recognize these when solving, and to know how to express your answer
Dependent systems have a solution set, which can be expressed using a parameter, as an
ordered triple. Inconsistent systems have no solution. Solve the following systems using
elimination methods found in section 6.3 and be sure to parameterize any dependent
solutions.
2x 3y - z 5
a.
2x +3y - 4z-6
Transcribed Image Text:Inconsistent and Dependent Systems of Equations in Three Variables [6.3] 1. The following systems of equations are either dependent or inconsistent. It is important to be able to recognize these when solving, and to know how to express your answer Dependent systems have a solution set, which can be expressed using a parameter, as an ordered triple. Inconsistent systems have no solution. Solve the following systems using elimination methods found in section 6.3 and be sure to parameterize any dependent solutions. 2x 3y - z 5 a. 2x +3y - 4z-6
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