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
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Chapter2: Second-order Linear Odes
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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
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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