6. Let S = {v}, v½, ..., un} C Rm. Which of the following is correct. (a) If n m, then S must be linearly independent (d) If n > m, then S must be linearly dependent (e) None of these a b с de

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
Question

Q6, please show work and show work in simplest way possible. Thanks.

6.
Let S = {v}, v½, ..., un} C Rm. Which of the following is correct.
(a) If n <m, then S must be linearly independent
(b) If n <m, then S must be linearly dependent
(c) If n > m, then S must be linearly independent
(d) If n > m, then S must be linearly dependent
(e) None of these
a b
с de
Transcribed Image Text:6. Let S = {v}, v½, ..., un} C Rm. Which of the following is correct. (a) If n <m, then S must be linearly independent (b) If n <m, then S must be linearly dependent (c) If n > m, then S must be linearly independent (d) If n > m, then S must be linearly dependent (e) None of these a b с de
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