16. x1 + 3x2 +4x3 = 0 3x1 + 8x2 + 7x3 = 0

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section: Chapter Questions
Problem 30CLR
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Find a basis for the solution space of the given homogeneous linear system.

16. x₁ + 3x2 + 4x3 = 0
3x1 + 8x2 + 7x3 = 0
17. x1 - 3x2 + 2x3 - 4x4
2x15x2 + 7x3 - 3x4 = 0
= 0
Transcribed Image Text:16. x₁ + 3x2 + 4x3 = 0 3x1 + 8x2 + 7x3 = 0 17. x1 - 3x2 + 2x3 - 4x4 2x15x2 + 7x3 - 3x4 = 0 = 0
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