The intersection of the subspaces L{(1,0,−1),(1,1,0)} and L{(2,−1,0),(0,1,1)} in the space R^3 is equal to(L=span): (a) L{(1,1,0),(0,1,1)}. (b) L{(0,−1,−1)}. (c) L{(2,−1,0)}. (d) L{(1,0,−1),(2,−1,0)}. (e) R^2.
The intersection of the subspaces L{(1,0,−1),(1,1,0)} and L{(2,−1,0),(0,1,1)} in the space R^3 is equal to(L=span): (a) L{(1,1,0),(0,1,1)}. (b) L{(0,−1,−1)}. (c) L{(2,−1,0)}. (d) L{(1,0,−1),(2,−1,0)}. (e) R^2.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...
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The intersection of the subspaces L{(1,0,−1),(1,1,0)} and L{(2,−1,0),(0,1,1)} in the space R^3 is equal to(L=span):
(a) L{(1,1,0),(0,1,1)}.
(b) L{(0,−1,−1)}.
(c) L{(2,−1,0)}.
(d) L{(1,0,−1),(2,−1,0)}.
(e) R^2.
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