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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bb619b1-7eeb-47eb-b085-dd01ae6d4152%2Fc6e87aa4-ae31-4ed1-abb8-ac12fb755c00%2Fb9xzfb_processed.jpeg&w=3840&q=75)
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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