(b) By considering the Gerschgorin circles, show that the eigenvalues of the matrix 2 -1 0 A = -1 2-1 0-1 2 satisfy the inequality 0 = λ = 4 Hence, using the result proved in (a), determine the smallest modulus eigenvalue of A correct to two decimal places.
(b) By considering the Gerschgorin circles, show that the eigenvalues of the matrix 2 -1 0 A = -1 2-1 0-1 2 satisfy the inequality 0 = λ = 4 Hence, using the result proved in (a), determine the smallest modulus eigenvalue of A correct to two decimal places.
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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