By using the Shifted Inverse Power Method, approximate an eigenvalue- eigenvector pair for the matrix A and zo given below, where the shift is chosen to be 3. 7 -1 0 2 0.7 4 8 3 -3 0.2 A = 4 5 11 " 1 0.7 -4-5 -4 -5 17 19 The following identity will be of use: 0.2/ 1 0 00 1 1 00 0 A-31 = 1 1 10 0 700 4 -1 0 -2 - 6 3 -1 5 4 -1 -1 4 1, 0 0 0-3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Apply the method four times to determine your approximation for the
eigenvalue and eigenvector z where ‖z‖_2 = 1

By using the Shifted Inverse Power Method, approximate an eigenvalue-
eigenvector pair for the matrix A and zo given below, where the shift is
chosen to be 3.
7
-1
0
2
0.7
4
8
3
-3
0.2
A =
4
5 11
"
1
0.7
-4-5
-4 -5 17 19
The following identity will be of use:
0.2/
1
0
00
1
1
00
0
A-31 =
1
1
10
0
700
4 -1 0 -2
-
6
3
-1
5
4
-1 -1 4 1,
0
0
0-3
Transcribed Image Text:By using the Shifted Inverse Power Method, approximate an eigenvalue- eigenvector pair for the matrix A and zo given below, where the shift is chosen to be 3. 7 -1 0 2 0.7 4 8 3 -3 0.2 A = 4 5 11 " 1 0.7 -4-5 -4 -5 17 19 The following identity will be of use: 0.2/ 1 0 00 1 1 00 0 A-31 = 1 1 10 0 700 4 -1 0 -2 - 6 3 -1 5 4 -1 -1 4 1, 0 0 0-3
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