This preview shows pages 1–2. Sign up to view the full content.
MATH 342010
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,
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
Unformatted text preview: ] where <f, g> = âˆ« f(x) g(x) dx, show that the functions 1/âˆš , (2/âˆš ) cos mx 0 m =1, 2, â€¦â€¦ 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.
 Fall '08
 Edwards,D
 Differential Equations, Linear Algebra, Algebra, Equations

Click to edit the document details