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Determine if the homogeneous system has a nontrivial solution. Use row operations in the process. Justifications should be written on your solution paper. X1 + 3x2 = 0 X1 + 2x2 +X3 0 X1 + X2 + 2x3 0 • Show the reduced row echelon form (RREF) of the resulting matrix. (on solution paper) • What is the solution to the system of equations? Use variable "s" to denote a free variable in case it exists. Enter your answers below. • X1= o X2 = o X3 = Re:write the peneral solution in parametric vector form, i.e. x = (on solution

Determine if the homogeneous system has a nontrivial solution. Use row operations in the process. Justifications should be written on your solution paper. X1 + 3x2 = 0 X1 + 2x2 +X3 0 X1 + X2 + 2x3 0 • Show the reduced row echelon form (RREF) of the resulting matrix. (on solution paper) • What is the solution to the system of equations? Use variable "s" to denote a free variable in case it exists. Enter your answers below. • X1= o X2 = o X3 = Re:write the peneral solution in parametric vector form, i.e. x = (on solution

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
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 67E
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Determine if the homogeneous system has a nontrivial solution. Use row operations in the process. Justifications should be written on your solution paper. X1 + 3x2 = 0 X1 + 2x2 +X3 0 X1 + X2 + 2x3 = 0 • Show the reduced row echelon form (RREF) of the resulting matrix. (on solution paper) • What is the solution to the system of equations? Use variable "s" to denote a free variable in case it exists. Enter your answers below. • X1 = o X2 = X3 = . Re-write the general solution in parametric vector form, i.e. x = x2 (on solution paper)
Transcribed Image Text:Determine if the homogeneous system has a nontrivial solution. Use row operations in the process. Justifications should be written on your solution paper. X1 + 3x2 = 0 X1 + 2x2 +X3 0 X1 + X2 + 2x3 = 0 • Show the reduced row echelon form (RREF) of the resulting matrix. (on solution paper) • What is the solution to the system of equations? Use variable "s" to denote a free variable in case it exists. Enter your answers below. • X1 = o X2 = X3 = . Re-write the general solution in parametric vector form, i.e. x = x2 (on solution paper)
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