Q2 (a) Let n E N and let 7, w e R". Show that if ở - = 0, then || † + w||? = || T||? + ||||?. (b) Extend the statement in (a) to three vectors in R", and prove it.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 33EQ
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Q2 (a) Let n eN and let 7, w e R". Show that if ở · ở = 0, then || † + w||? = || T||² + || w||?.
(b) Extend the statement in (a) to three vectors in R", and prove it.
Transcribed Image Text:Q2 (a) Let n eN and let 7, w e R". Show that if ở · ở = 0, then || † + w||? = || T||² + || w||?. (b) Extend the statement in (a) to three vectors in R", and prove it.
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