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Suppose the solution set of a certain system of linear equations can be described as x₁ = 7+3x3, x2 = -4-5x3, with X3 free. Use vectors to describe this set as a line in R³. Geometrically, the solution set is a line through parallel to

Suppose the solution set of a certain system of linear equations can be described as x₁ = 7+3x3, x2 = -4-5x3, with X3 free. Use vectors to describe this set as a line in R³. Geometrically, the solution set is a line through parallel to

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose the solution set of a certain system of linear equations can be described as x₁ = 7+3x3, x₂ = -4-5x3, with x3 free. Use vectors to describe this set as a line in R³. Geometrically, the solution set is a line through parallel to
Transcribed Image Text:Suppose the solution set of a certain system of linear equations can be described as x₁ = 7+3x3, x₂ = -4-5x3, with x3 free. Use vectors to describe this set as a line in R³. Geometrically, the solution set is a line through parallel to
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