Which of the following is a necessary condition for a set of vectors {V1, V2, ..., Vp} in R" to be linearly dependent? In other words, if all you know is that {V₁, V2, ..., Vp} is a linearly dependent set, which of the following conditions must be true? The equation ₁V₁ +₂V2 + ... + XpVp One of the vectors is a linear combination of the other vectors. One of the vectors is the zero vector. One of the vectors is a multiple of one of the other vectors. Op>n ('there are more vectors than entries') = 0 has a nontrivial solution.
Which of the following is a necessary condition for a set of vectors {V1, V2, ..., Vp} in R" to be linearly dependent? In other words, if all you know is that {V₁, V2, ..., Vp} is a linearly dependent set, which of the following conditions must be true? The equation ₁V₁ +₂V2 + ... + XpVp One of the vectors is a linear combination of the other vectors. One of the vectors is the zero vector. One of the vectors is a multiple of one of the other vectors. Op>n ('there are more vectors than entries') = 0 has a nontrivial solution.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 19E
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