Let B be a subset of R4. Which of the following statements are correct?If |B| = 3, then B is linearly independent.□ If B is a base, then |B| = 4.If |B| = 5, then B is not linearly independent.If |B| = 3, then B does not span R4If |B| = 5, then B spans R4

Consider a vector space ℝ4. Since the basis of ℝ4 must be set of 4 vectors. Any vector span ℝ4 will…

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

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

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.4: Prime Factors And Greatest Common Divisor

Problem 17E

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Question

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

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