Let B be a subset of R5. Which of the following statements is not correct? If |B| = 5 and B is linearly independent, then B spans R5 If |B| = 5 and B spans R5, then B is linearly independent If B is linearly independent, then IBI ≤ 5. If B spans R5 the |B| ≥ 5. If IBI ≥ 5 then B is linearly independent

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 45E
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Let B be a subset of R5. Which of the following statements is not correct?
If |B| = 5 and B is linearly independent, then B spans R5
If |B| = 5 and B spans R5, then B is linearly independent
If B is linearly independent, then |B| ≤ 5.
If B spans
R5 the IBI ≥ 5.
If |B| 25 then B is linearly independent
Transcribed Image Text:Let B be a subset of R5. Which of the following statements is not correct? If |B| = 5 and B is linearly independent, then B spans R5 If |B| = 5 and B spans R5, then B is linearly independent If B is linearly independent, then |B| ≤ 5. If B spans R5 the IBI ≥ 5. If |B| 25 then B is linearly independent
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