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Suppose the solution set of a certain system of linear equations can be described as x1 = 3x4, x2 = 8+ x4, X3 = 2 - 5x4, with x4 free. Use vectors to describe this set as a "line" in R*.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.6: Solve Systems Of Equations Using Determinants

Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.

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Question

Describe all solutions of Ax= 0 in parametric vector form, where A is row equivalent to the given matrix.

Suppose the solution set of a certain system of linear
equations can be described as x1 = 3x4, x2 = 8+ x4,
X3 = 2 - 5x4, with x4 free. Use vectors to describe this set
as a "line" in R*.

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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