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

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,...

See similar textbooks

Similar questions

7.'., Given A = Find the eigenvalues and eigenvectors of matrix A
Find all the eigenvalues and eigenfunctions of the Sturm-Liouville problem. Use the integral inner product to verify the orthogonality of the eigenfunctions. y" + y = 0, y' (0) = 0, y' (π/2) = 0
a) Find the eigenvalues of A. b) Find three linearly independent solutions of x' = Ax. c) Find the exponential e^(tA) Let A = 2 -1 ا دیا 0 0 3 0 -30
(ii) Let A c R" be symmetric and 2 an eigenvalue of 4. J4| is a singular value of 4. (2)
Q6
Explain theorem of Eigenvalue Solutions of x' = Ax?
Reduce homogereaus Fredhlölm snteqral equation 2e D1x)-11kしxっ)ult)1 Where, k (1st) = sinhtsinh (x-1) ,t za41 sinh1 Solve the resulting BYP for & Eigen fila ction. Eigen Yalues
Evaluate the resultant function when v operates on sin(-3x) + cos(3y) where d? d? dx? dy? b) Is sin(-3x) + cos(3y) an eigenfunction of v²? If yes, report the eigenvalue.
Find all the eigenvalues and eigenfunctions of the Sturm-Liouville problem. Use the integral inner product to verify the orthogonality of the eigenfunctions. y" + xy = 0, y (0) = 0, y (3) = 0
Find the eigenvalues A1 < A2 < Ag and associated unit eigenvectors ū1, ü2, ūz of the symmetric matrix 4 -2 -27 A -3 5 -2 -3 The eigenvalue A -8 has associated unit eigenvector ủ1 = The eigenvalue A2 = 0 has associated unit eigenvector u2 =
Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors ủ1, ủ2, ūz of the symmetric matrix 4 -2 -2] A = -2 -2 4 -2 4 -2 The eigenvalue A1 -6 has associated unit eigenvector ủ1 = The eigenvalue X2 = 0 2 has associated unit eigenvector u2 ||
Given that A = (14) has eigenvalues -1 and 3 with 3-eigenvector equal to [H] 2 -1 A = ^-636369* and -1-eigenvector equal to 2 , fill in the blank: