The solution space for this system is a subspace of R$ 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, find parametric equations. x + 5y + 10z = 0 4x + 8y + 6z = 0 8x + 3y – 5z = 0

The solution space for this system is a subspace of R$ 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, find parametric equations. x + 5y + 10z = 0 4x + 8y + 6z = 0 8x + 3y – 5z = 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 71E: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the...

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