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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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