Let a function f: [-1,1] -> Real Number be defined by f(x) = {[-1 if -1 .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I have a question regarding functions.
1) Let a function f: [-1,1] -> Real Number be defined by
f(x) = {[-1 if -1 </ x < 0]; [0 if x=0]; [1 if 0 < x </ 1]
(i) Is the function f odd, even, neither or both?
(ii) Find the 6th degree fourier series spproximation to function f.
2) Let A=1/3*(Matrix x)
Matrix X =
| 1 | 0 | 4 |
| 0 | 5 | -4 |
| 4 | -4 | 3 |
Compute the spectral decomposition of A and use it to compute sin( pi/6 * A).
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