Determine whether the following statement is true (i.e., always true) or false (i.e., sometimes not true): Every orthogonal collection of four vectors in R is linearly independent. True False

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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Determine whether the following statement is true (i.e., always true) or false (i.e.,
sometimes not true):
Every orthogonal collection of four vectors in R is linearly independent.
True
False
Transcribed Image Text:Determine whether the following statement is true (i.e., always true) or false (i.e., sometimes not true): Every orthogonal collection of four vectors in R is linearly independent. True False
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