5. Suppose we have two vectors v₁ and 2 in R³ and we know that v₂ = -30₁. Now let v3 be any other vector in R³. Show that the set of vectors (v1, 02, 03} must be linearly dependent. Hint: Use the definition of linear dependence directly!
5. Suppose we have two vectors v₁ and 2 in R³ and we know that v₂ = -30₁. Now let v3 be any other vector in R³. Show that the set of vectors (v1, 02, 03} must be linearly dependent. Hint: Use the definition of linear dependence directly!
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 4EQ
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