Lab 11 - where<f g> = f(x g(x dx show that the functions 1/√(2/√ cos mx 0 m =1 2 …… form a set of mutually orthogonal vectors

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 342-010 Differential Equations with Linear Algebra II Fall 2009 Due November 23, 2009 Homework 11 Leon Section 5.4 1. Page 252, number 2 2. Page 254, number 17 3. Page 254, number 29 4. Which of the following are inner product spaces? (a) R n where <X, Y> = -X T Y; (b) R n where <X, Y> = 2X T Y; 1 (c) C[0, 1] where <f, g> = (f(x) + g(x)) dx 0 5. Consider the inner product space[0,
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ] where <f, g> = ∫ f(x) g(x) dx, show that the functions 1/√ , (2/√ ) cos mx 0 m =1, 2, …… form a set of mutually orthogonal vectors. Section 5.5 6. Page 270, number 1 7. Show that the set B is an orthonormal basis in R 3 B = 8. Page 271, number 7 9. Page 272, number 12 10. Page 273, number 27 parts (a) and (b)...
View Full Document

This note was uploaded on 12/23/2009 for the course MATH 342 taught by Professor Edwards,d during the Fall '08 term at University of Delaware.

Page1 / 2

Lab 11 - where<f g> = f(x g(x dx show that the functions 1/√(2/√ cos mx 0 m =1 2 …… form a set of mutually orthogonal vectors

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online