2.6. In the text, the modulus is defined in terms of the inner product. Prove at this can be turned around by showing that for every x,y E R", |x+y[² – \x – y[² - - (x, y) 4

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Problem 2.2.6 on the attached image.

2.2.6. In the text, the modulus is defined in terms of the inner product. Prove
that this can be turned around by showing that for every x, y E R",
|x+ y[² – \æ – y/²
-
(x, y)
4
Transcribed Image Text:2.2.6. In the text, the modulus is defined in terms of the inner product. Prove that this can be turned around by showing that for every x, y E R", |x+ y[² – \æ – y/² - (x, y) 4
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