X + x, + 3x, = 0 Given this system of equations: 2x, + x, +4x, = 1 3x, + x, +5x, = 2 %3D a. Find the general solution. b. Is the set of all solutions a vector space? (Explain.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 29E
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X; + x, + 3x, = 0
Given this system of equations: 2x, +x, +4x, =1
3x, +x, +5.x, = 2
%3D
a. Find the general solution.
b. Is the set of all solutions a vector space? (Explain.)
Transcribed Image Text:X; + x, + 3x, = 0 Given this system of equations: 2x, +x, +4x, =1 3x, +x, +5.x, = 2 %3D a. Find the general solution. b. Is the set of all solutions a vector space? (Explain.)
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