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30. Let S = {v, V2,... , v,} be a set of non-zero vectors in a vector space V and W = span S. Which statement is INCORRECT? (A) If S spans V then W = V (B) The basis for W may be a single vector (C) S is a basis for W (D) Some subset of S is a basis for W (E) W C V

30. Let S = {v, V2,... , v,} be a set of non-zero vectors in a vector space V and W = span S. Which statement is INCORRECT? (A) If S spans V then W = V (B) The basis for W may be a single vector (C) S is a basis for W (D) Some subset of S is a basis for W (E) W C V

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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30. Let S = {v,, V2, ..., Un} be a set of non-zero vectors in a vector space V and W = span S. Which statement is INCORRECT? (A) If S spans V then W = V %3D (B) The basis for W may be a single vector (C) S is a basis for W (D) Some subset of S is a basis for Ww (E) W C V
Transcribed Image Text:30. Let S = {v,, V2, ..., Un} be a set of non-zero vectors in a vector space V and W = span S. Which statement is INCORRECT? (A) If S spans V then W = V %3D (B) The basis for W may be a single vector (C) S is a basis for W (D) Some subset of S is a basis for Ww (E) W C V
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