Consider the following linear system of equations.x-3y+z2w = 1-1-x+3y+z+w = −1-x+3y+3z- w = 2x-3y 13z+8w = −8-8(b) Find all solutions of this system (i.e., determine thesolution set).

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Answered: Consider the following linear system of…

Consider the following linear system of equations. x-3y+z2w = 1 -x+3y+z+w=1 -x+3y+3z w = 2 - - x-3y 13z+8w = −8 (b) Find all solutions of this system (i.e., determine the solution set).

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 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...

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Question

Consider the following linear system of equations.
x-3y+z2w = 1
-1
-x+3y+z+w = −1
-x+3y+3z- w = 2
x-3y 13z+8w = −8
-8
(b) Find all solutions of this system (i.e., determine the
solution set).

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Step 1: Determine given linear equations

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Step 2: Taking augmented matrix using raw operations

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Step 3: Solutions set

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Solution

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