The matrix A has eigenvalues λ = 1, 2, 3, 4. Is B -4 555 -6 2 6 6 -7 0 3 7 -8 5 5 9 = -3 55 5 -6 3 6 6 -7 0 4 7 -8 5 5 10 diagonalizable? Without calculating eigenvectors or eigenvalues, explain why or why not (you will lose points if you calculate eigenvectors or eigenvalues).
The matrix A has eigenvalues λ = 1, 2, 3, 4. Is B -4 555 -6 2 6 6 -7 0 3 7 -8 5 5 9 = -3 55 5 -6 3 6 6 -7 0 4 7 -8 5 5 10 diagonalizable? Without calculating eigenvectors or eigenvalues, explain why or why not (you will lose points if you calculate eigenvectors or eigenvalues).
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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