Fill in the blanks. The missing word i:

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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) 11. Fill in the blanks. The missing word is must, might or cannot.
(a) If S is a finite set of vectors in R" that contains the zero vector, then S be
linearly dependent.
(b) If u and v belong to S, then 3u
belong to Span(S).
be equal to all of
S c) If u and v are two nonzero vectors in R2, then Span{u, v} –
R?.
(d) If S = {v1, V2, V3, V4} is a linearly dependent set then {v1, V2, V3, } ▬ be linearly
oitanotenst ald ebnu E-)x10v ors to
(e) Let A be an n x n matrix. If Ax = b has a unique solution, then Ax = 0
have infinitely many solutions.
%3D
4 (0)
(f) Suppose u, v and w are 3 different nonzero vectors such that u E Span{v, w}. Then v
be in Span{u, w}
Transcribed Image Text:) 11. Fill in the blanks. The missing word is must, might or cannot. (a) If S is a finite set of vectors in R" that contains the zero vector, then S be linearly dependent. (b) If u and v belong to S, then 3u belong to Span(S). be equal to all of S c) If u and v are two nonzero vectors in R2, then Span{u, v} – R?. (d) If S = {v1, V2, V3, V4} is a linearly dependent set then {v1, V2, V3, } ▬ be linearly oitanotenst ald ebnu E-)x10v ors to (e) Let A be an n x n matrix. If Ax = b has a unique solution, then Ax = 0 have infinitely many solutions. %3D 4 (0) (f) Suppose u, v and w are 3 different nonzero vectors such that u E Span{v, w}. Then v be in Span{u, w}
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