In Exercises 16-21, find a basis for the solution set of the given homogeneous linear system. 17. 3x + x2 + x3 = 0 6x₁ + 2x2 + 2x3 = 0 -- -9x₁ - 3x2 - 3x3 = 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 50EQ
Question
In Exercises 16-21, find a basis for the solution
set of the given homogeneous linear system.
17.
3x + x2 + x3 = 0
6x₁ + 2x2 + 2x3 = 0
-9x₁ - 3x2 - 3x3 = 0
Transcribed Image Text:In Exercises 16-21, find a basis for the solution set of the given homogeneous linear system. 17. 3x + x2 + x3 = 0 6x₁ + 2x2 + 2x3 = 0 -9x₁ - 3x2 - 3x3 = 0
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