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Let B be a subset of R4. Which of the following statements are correct? If |B| = 5, then B spans R4 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 DIf |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 spans R4 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 DIf |B| = 3, then B is linearly independent.

Advanced Engineering Mathematics
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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Let B be a subset of R4. Which of the following statements are correct? If |B| = 5, then B spans R4 OIf 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 O If |B| = 3, then B is linearly independent.
Transcribed Image Text:Let B be a subset of R4. Which of the following statements are correct? If |B| = 5, then B spans R4 OIf 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 O If |B| = 3, then B is linearly independent.
Which of the following pairs of vectors are linearly independent? Ou= (1,0) and w = (0,2). u= (1,2) and w = (2,1). Ou= (1,0) and v = (-2,0). Du= (1,2) and w = (-2,-4).
Transcribed Image Text:Which of the following pairs of vectors are linearly independent? Ou= (1,0) and w = (0,2). u= (1,2) and w = (2,1). Ou= (1,0) and v = (-2,0). Du= (1,2) and w = (-2,-4).
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