In Exercises 5 and 6, follow the method of Examples 1 and 2 to write the solution set of the given homogeneous system in parametric vector form. X₁ + 3x₂ + x3 = 0) −4x₁ − 9x₂ + 2x3 = 0 - 3x₂ 6.X3 20****** x₁ + 3x₂ − 5x3 = 0 X₁ + 4x₂ − 8.x3 = 0 -3.x₁ 7.x₂ + 9x3 [******** 0

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 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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5 and 6
In Exercises 5 and 6, follow the method of Examples 1 and 2
to write the solution set of the given homogeneous system in
parametric vector form.
x+3x₂ + x³ = 0
-4x₁ - 9x₂ + 2x, = 0
– 3.x₂ - 6x, −0|
In Exercises 7-12, describe all solutions of Ax = 0 in parametric
vector form, where A is row equivalent to the given matrix.
3
x₁3x₂5x₂ - 0
t. + 4.x₂ – 8.x, = 0
| −3x, – 7x, + 9x, — 0
3 -3
1
CE
thre
19.
thro
figue
Transcribed Image Text:In Exercises 5 and 6, follow the method of Examples 1 and 2 to write the solution set of the given homogeneous system in parametric vector form. x+3x₂ + x³ = 0 -4x₁ - 9x₂ + 2x, = 0 – 3.x₂ - 6x, −0| In Exercises 7-12, describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. 3 x₁3x₂5x₂ - 0 t. + 4.x₂ – 8.x, = 0 | −3x, – 7x, + 9x, — 0 3 -3 1 CE thre 19. thro figue
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