Let A be an n × n matrix and let B = A − αI for some scalar α. How do the eigenvalues of A and B compare? Explain.
Let A be an n × n matrix and let B = A − αI for some scalar α. How do the eigenvalues of A and B compare? Explain.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A be an n × n matrix and let B = A − αI for
some scalar α. How do the eigenvalues of A and B
compare? Explain.
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