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☐ S. 889 W ▸ ▸ W W File Com Paste 14--13--12-11·10·1·9·1·8·1·7·1·6·1·5·1·4·1·3·1·2·1·10|| Home = Clipboard Cut Copy Format Painter F Insert All 10:58 AM 2022-06-16 Page: 1 of 1 Words: 8 Words: 8 References T Calibri (Body) 14 Á A Aa BIU abe X, X - X² A ab Page Layout Document1 - Microsoft Word (Product Activation Failed) Review View Al EL ¶ AaBbCcDc AaBbCcDc AaBBC AaBbcc AaB AaBb Ccl Find Replace A - 1 Normal No Spaci... Heading 1 Title Subtitle Change Heading 2 Styles Styles Select - Paragraph F4 Font ·2·1·1···1·1·1·2·1·3·1·4·1·5·1·6· 1 · 7 · 1 · 8 · 1 · 9 · 1 · 10 · · ·11· · ·12· · ·13· · ·14· · ·15· · · · · · 17 · |-· 18 · NUMERICAL METHODS PLEASE ANSWER (a), (b) and (c) (a) Define what is meant by the eigenvalues and eigenvectors of a matrix A. If the matrix A is 201 A= -22 -3 10 -12 09 (b) find the characteristic polynomial, (c) find the eigenvalues and eigenvectors. (d) Start with the approximate eigenvector (1,1,1) and use the power method to estimate the dominant eigenvalue by iterating 4 times. (e) Use the power method to find the smallest absolute eigenvalue of A. (f) Write a program which applies the power method to a given matrix in (d) and (e) above. Mailings Editing NR 2 90% Ⓒ 0 @? E +
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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NUMERICAL METHODS
PLEASE ANSWER (a), (b) and (c)
(a) Define what is meant by the eigenvalues and eigenvectors of a matrix A.
If the matrix A is
201
A= -22 -3 10
-12 09
(b) find the characteristic polynomial,
(c) find the eigenvalues and eigenvectors.
(d) Start with the approximate eigenvector (1,1,1) and use the power method to estimate the dominant
eigenvalue by iterating 4 times.
(e) Use the power method to find the smallest absolute eigenvalue of A.
(f) Write a program which applies the power method to a given matrix in (d) and (e) above.
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