Find a basis for the set of vectors in ℝ3 in the plane × + 2y + z = 0. [Hint: Think of the equation as a "system" of homogeneous equations.]
Find a basis for the set of vectors in ℝ3 in the plane × + 2y + z = 0. [Hint: Think of the equation as a "system" of homogeneous equations.]
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.2: Orthogonal Complements And Orthogonal Projections
Problem 8EQ
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