If W = span {v,.... v3}, which of the following statements must be true? dim(W) > 6 dim(W) s 6 O Nothing can be said about dim(W) dim(W)= 6 O dim(W) 2 6
If W = span {v,.... v3}, which of the following statements must be true? dim(W) > 6 dim(W) s 6 O Nothing can be said about dim(W) dim(W)= 6 O dim(W) 2 6
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![If \( W = \text{span} \{ v_1, \ldots, v_6 \} \), which of the following statements must be true?
- \( \dim(W) > 6 \)
- \( \dim(W) \leq 6 \)
- Nothing can be said about \( \dim(W) \)
- \( \dim(W) = 6 \)
- \( \dim(W) \geq 6 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b2b33db-c80f-4b0b-994f-adea14a053ac%2Fda365ce9-e7a3-4d76-95d1-9a55b6494948%2Fj5j6axb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If \( W = \text{span} \{ v_1, \ldots, v_6 \} \), which of the following statements must be true?
- \( \dim(W) > 6 \)
- \( \dim(W) \leq 6 \)
- Nothing can be said about \( \dim(W) \)
- \( \dim(W) = 6 \)
- \( \dim(W) \geq 6 \)
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