Describe the solutions of the given system into parametric vector form. x1+x2+ 2x3= 9 2x1+ 4x2−3x3= 1 3x1+ 3x2+ 6x3= 27 Also compare this solution, geometrically, with the solution set of the following homogeneous system. x1+x2+ 2x3= 0 2x1+ 4x2−3x3= 0 3x1+ 3x2+ 6x3= 0

Describe the solutions of the given system into parametric vector form. x1+x2+ 2x3= 9 2x1+ 4x2−3x3= 1 3x1+ 3x2+ 6x3= 27 Also compare this solution, geometrically, with the solution set of the following homogeneous system. x1+x2+ 2x3= 0 2x1+ 4x2−3x3= 0 3x1+ 3x2+ 6x3= 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 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...

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Question

Describe the solutions of the given system into parametric vector form.

x1+x2+ 2x3= 9

2x1+ 4x2−3x3= 1

3x1+ 3x2+ 6x3= 27

Also compare this solution, geometrically, with the solution set of the following homogeneous system.

x1+x2+ 2x3= 0

2x1+ 4x2−3x3= 0

3x1+ 3x2+ 6x3= 0

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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