Verify the Cauchy-Schwarz inequality by first proving Lagrange's identity: and then noting that the final term is

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Verify the Cauchy-Schwarz inequality by first proving Lagrange's identity:

and then noting that the final term is positive. This result is an improvement over Cauchy-Schwarz because it gives a formula for the difference between the two sides. Interpret that difference in R2.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:48 AM

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Verify the Cauchy-Schwarz inequality by first proving Lagrange's identity: and then noting that the final term is

Question:

E a;b; Σ Σ E (azb; – a; bı)²

Step by Step Answer:

We use induction on n In the n 1 base case the identity reduces to a 1 b ...View the full answer

Linear Algebra

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