Show that the function defines an inner product on R3, where u = (u1, u2, u3) and v = (v1, v2, v3). ⟨u, v⟩ = 2u1v1 + 3u2v2 + u3v3
Show that the function defines an inner product on R3, where u = (u1, u2, u3) and v = (v1, v2, v3). ⟨u, v⟩ = 2u1v1 + 3u2v2 + u3v3
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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Show that the function defines an inner product on R3, where u = (u1, u2, u3) and v = (v1, v2, v3).
⟨u, v⟩ = 2u1v1 + 3u2v2 + u3v3
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