24. Let W be a subspace of a vector space V over the real numbers. Here and O represent vector addition and scalar multiplication respectively. Which statement below is INCOR- RECT? (A) W is a subset of V (B) The zero vector 0 E V does not necessarily belong to W (C) W is a vector space with respect to the same operations of vector addition and scalar multiplication as for V (D) u, v E W = u ev E W (E) k ER, u E W = kOu E W
24. Let W be a subspace of a vector space V over the real numbers. Here and O represent vector addition and scalar multiplication respectively. Which statement below is INCOR- RECT? (A) W is a subset of V (B) The zero vector 0 E V does not necessarily belong to W (C) W is a vector space with respect to the same operations of vector addition and scalar multiplication as for V (D) u, v E W = u ev E W (E) k ER, u E W = kOu E W
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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Transcribed Image Text:24. Let W be a subspace of a vector space V over the real numbers. Here e and O represent
vector addition and scalar multiplication respectively. Which statement below is INCOR-
RECT?
(A) W is a subset of V
(B) The zero vector 0 E V does not necessarily belong to W
(C) W is a vector space with respect to the same operations of vector addition and scalar
multiplication as for V
(D) u, v E W = u e v E W
(E) k ER, u E W = kOu E W
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