In Exercises 19-20, find ||p|| and d(p, q) relative to the standard inner product on P2. 19. p = -2 + x + 3x², q = 4 – 7x² | 20. p = -5 + 2x + x², q = 3 + 2x – 4x²

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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Question 19

In Exercises 19-20, find ||p|| and d(p, q) relative to the standard
inner product on P2.
19. р %3D —2 +х+ 3x*, q 3 4 — 7х?
20. р -
-5+ 2x + x², q = 3 + 2x – 4x²
Transcribed Image Text:In Exercises 19-20, find ||p|| and d(p, q) relative to the standard inner product on P2. 19. р %3D —2 +х+ 3x*, q 3 4 — 7х? 20. р - -5+ 2x + x², q = 3 + 2x – 4x²
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