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

Publisher:Ron Larson

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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Question

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)}.

(d) L{(1,0,−1),(2,−1,0)}.

(e) R^2.

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