(i) Consider 3= {(a, B.Y.6):8 = 2a – B and y = a}. Is a subspace for the vector space R with respect to the operations addition and scalar multiplication in vector space? Explain properly. (ii) Let S %3D %3D {(1,1,0, 1), (1, -1,0, 1), (0,1,2,1)}. Determine whether p = (2,3,2,3) belongs to %3D span S.
(i) Consider 3= {(a, B.Y.6):8 = 2a – B and y = a}. Is a subspace for the vector space R with respect to the operations addition and scalar multiplication in vector space? Explain properly. (ii) Let S %3D %3D {(1,1,0, 1), (1, -1,0, 1), (0,1,2,1)}. Determine whether p = (2,3,2,3) belongs to %3D span S.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 42CR: Repeat Exercise 41 for B={(1,2,2),(1,0,0)} and x=(3,4,4). Let B={(0,2,2),(1,0,2)} be a basis for a...
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