State and prove Parsvel's identity.

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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56. Prove that an orthonormal set S= {a1, a2,·… . , Oln} in an inner product space
n
NÐ) is complete if and only if ße V=→B=E (B, a,) a,.
i = 1
5 State and prove Parsvel's identity.
Transcribed Image Text:56. Prove that an orthonormal set S= {a1, a2,·… . , Oln} in an inner product space n NÐ) is complete if and only if ße V=→B=E (B, a,) a,. i = 1 5 State and prove Parsvel's identity.
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