3Find the dominant eigenvalue, 2,, and its corresponding eigenvector, v, ofmatrix A using the power method. Use v0) = (1 0 1)" and stop theiteration until | m-m, < 0.0005. Then, find the smallest eigenvalue, â,,and its corresponding eigenvector, v, of matrix A by using the shiftedpower method for Q3 (a)-(d).161Eigenvalues(2 1 0)A = 1 2 11 21 -1(а).(b).A = -24-20 1-1-1 0-2 1(c).A = -14(d).A =-2 22-2 3II2.

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Find the dominant eigenvalue, 2,, and its corresponding eigenvector, V, of matrix A using the power method. Use v = (1 0 1)' and stop the iteration until | m ,1 – m, |< 0.0005. Then, find the smallest eigenvalue, 1,, and its corresponding eigenvector, v; of matrix A by using the shifted power method for Q3 (a)-(d).

Find the dominant eigenvalue, 2,, and its corresponding eigenvector, V, of matrix A using the power method. Use v = (1 0 1)' and stop the iteration until | m ,1 – m, |< 0.0005. Then, find the smallest eigenvalue, 1,, and its corresponding eigenvector, v; of matrix A by using the shifted power method for Q3 (a)-(d).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 8BEXP

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