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Nacho claims that every vector in R³ (vector in 3 dimensions) can be written as a combination of a1, a2, a3. Is he correct? yes/no and why? Mickey Rats claims that any set of linear independent vectors must be a Basis. Is he correct? Explain.

Nacho claims that every vector in R³ (vector in 3 dimensions) can be written as a combination of a1, a2, a3. Is he correct? yes/no and why? Mickey Rats claims that any set of linear independent vectors must be a Basis. Is he correct? Explain.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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Nacho claims that every vector in R³ (vector in 3 dimensions) can be written as a combination of a1, a2, a3. Is he correct? yes/no and why? Mickey Rats claims that any set of linear independent vectors must be a Basis. Is he correct? Explain.
Transcribed Image Text:Nacho claims that every vector in R³ (vector in 3 dimensions) can be written as a combination of a1, a2, a3. Is he correct? yes/no and why? Mickey Rats claims that any set of linear independent vectors must be a Basis. Is he correct? Explain.
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