ould you please help me answer this question: Show that each of the following are not inner products on R3: a) ⟨u,v⟩ = u1v1 + u2v2 b) ⟨u,v⟩ = u1v2u3 + v1u2v3 for u = (u1, u2, u3)T & v = (v1, v2, v3
ould you please help me answer this question: Show that each of the following are not inner products on R3: a) ⟨u,v⟩ = u1v1 + u2v2 b) ⟨u,v⟩ = u1v2u3 + v1u2v3 for u = (u1, u2, u3)T & v = (v1, v2, v3
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 94E
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Could you please help me answer this question:
Show that each of the following are not inner products on R3:
a) ⟨u,v⟩ = u1v1 + u2v2
b) ⟨u,v⟩ = u1v2u3 + v1u2v3
for u = (u1, u2, u3)T & v = (v1, v2, v3)T.
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