Let B be a subset of R¹. Which of the following statements are correct? If B is a base, then |B| = 4. If |B| = 3, then B is linearly independent. If |B| = 5, then B is not linearly independent. If |B| = 5, then B spans R4 If |B| = 3, then B does not span R4

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.3: Properties Of Composite Mappings (optional)
Problem 2TFE: Label each of the following statements as either true or false. The composition of two bijections is...
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Let B be a subset of R¹. Which of the following statements are correct?
O If B is a base, then |B| = 4.
If |B| = 3, then B is linearly
independent.
If |B| = 5, then B is not linearly
independent.
If |B| = 5, then B spans R4
If |B| = 3, then B does not span R4
Transcribed Image Text:Let B be a subset of R¹. Which of the following statements are correct? O If B is a base, then |B| = 4. If |B| = 3, then B is linearly independent. If |B| = 5, then B is not linearly independent. If |B| = 5, then B spans R4 If |B| = 3, then B does not span R4
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