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( ) - - H) (12 (a) Using Gaussian elimination, find a vector v such that 12 (b) Give an example of a system of 2 equations with 3 variables whose solutions can be described using one parameter and prove that your example does the job. (c) Give an example of a system of 2 equations with 3 variables whose solutions can be described using two parameters and prove that your example does the job.

( ) - - H) (12 (a) Using Gaussian elimination, find a vector v such that 12 (b) Give an example of a system of 2 equations with 3 variables whose solutions can be described using one parameter and prove that your example does the job. (c) Give an example of a system of 2 equations with 3 variables whose solutions can be described using two parameters and prove that your example does the job.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 71E: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the...
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A19.2 1 3 12 (a) Using Gaussian elimination, find a vector v such that V = 1 12 (b) Give an example of a system of 2 equations with 3 variables whose solutions can be described using one parameter and prove that your example does the job. (c) Give an example of a system of 2 equations with 3 variables whose solutions can be described using two parameters and prove that your example does the job.
Transcribed Image Text:A19.2 1 3 12 (a) Using Gaussian elimination, find a vector v such that V = 1 12 (b) Give an example of a system of 2 equations with 3 variables whose solutions can be described using one parameter and prove that your example does the job. (c) Give an example of a system of 2 equations with 3 variables whose solutions can be described using two parameters and prove that your example does the job.
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