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a) Determine whether the following set of vectors in R³ is linearly independent. If not, find non-trivial weights C1, C2, and 3 such that c₁v₁ + C₂ V₂ + C3V3 = 0. S = {(1,2,3), (4,5,6), (2,1,0)}.

a) Determine whether the following set of vectors in R³ is linearly independent. If not, find non-trivial weights C1, C2, and 3 such that c₁v₁ + C₂ V₂ + C3V3 = 0. S = {(1,2,3), (4,5,6), (2,1,0)}.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 19T: Determine whether the vectors u=6,10 and v=5,3 are orthogonal.
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please solve it q5,a

a) Determine whether the following set of vectors in R³ is linearly independent. If not, find non-trivial weights C1, C2, and 3 such that c₁v₁ + C₂ V₂ + C3V3 = 0. S = {(1,2,3), (4,5,6), (2,1,0)}.
Transcribed Image Text:a) Determine whether the following set of vectors in R³ is linearly independent. If not, find non-trivial weights C1, C2, and 3 such that c₁v₁ + C₂ V₂ + C3V3 = 0. S = {(1,2,3), (4,5,6), (2,1,0)}.
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