y- ct or 1.1.18 Let B and C be subsets of a vector space V. (a) Show that span(BnC) C span(B)Nspan(C). (b) Provide an example for which span(B n C) = span(B) nspan(C) and another example for which span(BnC) span(B) Nspan(C). %3D
y- ct or 1.1.18 Let B and C be subsets of a vector space V. (a) Show that span(BnC) C span(B)Nspan(C). (b) Provide an example for which span(B n C) = span(B) nspan(C) and another example for which span(BnC) span(B) Nspan(C). %3D
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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Answer to both parts needed

Transcribed Image Text:subspace of V.
р,
у-
1.1.18 Let B and C be subsets of a vector space V.
ct
(a) Show that span(BnC) C span(B) nspan(C).
(b) Provide an example for which span(BnC) =
span(B) span(C) and another example for which
span(BnC) span(B) nspan(C).
or
%3D
**1.1.19 Let S1 and S2 be subspaces of a vector space V.
The sum of S. and Sa is defined by
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