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5. Consider the matrix 102 A= 440 002 In this question work to 4 decimal places throughout and give your final answer to 3 decimal places. (a) Use 4 iterations of the power method to calculate an estimate of the maximal mag- nitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1) as the initial estimate of the eigenvector. Given that the the inverse of matrix A is 4 0 -4 1 =- -4 1 4 4 0 0 2 (b) Use this matrix to perform 3 iterations of the power method to calculate an estimate of the minimal magnitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1)" as the initial estimate of the eigenvector.

5. Consider the matrix 102 A= 440 002 In this question work to 4 decimal places throughout and give your final answer to 3 decimal places. (a) Use 4 iterations of the power method to calculate an estimate of the maximal mag- nitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1) as the initial estimate of the eigenvector. Given that the the inverse of matrix A is 4 0 -4 1 =- -4 1 4 4 0 0 2 (b) Use this matrix to perform 3 iterations of the power method to calculate an estimate of the minimal magnitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1)" as the initial estimate of the eigenvector.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 66E: Show that A=[0110] has no real eigenvalues.
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5. Consider the matrix 102 A= 440 002 In this question work to 4 decimal places throughout and give your final answer to 3 decimal places. (a) Use 4 iterations of the power method to calculate an estimate of the maximal mag- nitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1) as the initial estimate of the eigenvector. Given that the the inverse of matrix A is 4 0 -4 1 =- -4 1 4 4 0 0 2 (b) Use this matrix to perform 3 iterations of the power method to calculate an estimate of the minimal magnitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1)" as the initial estimate of the eigenvector.
Transcribed Image Text:5. Consider the matrix 102 A= 440 002 In this question work to 4 decimal places throughout and give your final answer to 3 decimal places. (a) Use 4 iterations of the power method to calculate an estimate of the maximal mag- nitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1) as the initial estimate of the eigenvector. Given that the the inverse of matrix A is 4 0 -4 1 =- -4 1 4 4 0 0 2 (b) Use this matrix to perform 3 iterations of the power method to calculate an estimate of the minimal magnitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1)" as the initial estimate of the eigenvector.
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