The solution space for this system is a subspace of R³ and so must be a line through the origin, a plane through the origin, all of R³, or the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, fir parametric equations. x+3y+6z= 0 2x+4y+4z=0 4x+y-3z = 0
The solution space for this system is a subspace of R³ and so must be a line through the origin, a plane through the origin, all of R³, or the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, fir parametric equations. x+3y+6z= 0 2x+4y+4z=0 4x+y-3z = 0
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 15CT
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