Which of the followings are always true? I. A set containing a single vector is linearly independent. II. Every linearly dependent set contains zero vector. III. The set of vectors {kv, v} is linearly dependent for every scala IV. The union of any two subspaces of a vector space V is a subsp V. The set R? is a subspace of R. O 1, II, V IL IV V
Which of the followings are always true? I. A set containing a single vector is linearly independent. II. Every linearly dependent set contains zero vector. III. The set of vectors {kv, v} is linearly dependent for every scala IV. The union of any two subspaces of a vector space V is a subsp V. The set R? is a subspace of R. O 1, II, V IL IV V
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...
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