Let B be a subset of R4. Which of the following statements are correct? 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 If B is a base, then |B| = 4. If |B| = 3, then B is linearly independent.
Let B be a subset of R4. Which of the following statements are correct? 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 If B is a base, then |B| = 4. If |B| = 3, then B is linearly independent.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 10TFE
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Let B be a subset of R4. Which of the following statements are correct?
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
If B is a base, then |B| = 4.
If |B| = 3, then B is linearly independent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F787eb179-50a0-41ad-844c-e6734553f88b%2F6528169c-dd8a-4bfd-945e-406e76962bea%2Fio9dl9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:U
Let B be a subset of R4. Which of the following statements are correct?
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
If B is a base, then |B| = 4.
If |B| = 3, then B is linearly independent.
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