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 \( \dim(W) \)
- \( \dim(W) = 6 \)
- \( \dim(W) \geq 6 \)
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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