Suppose A and B have the same eigenvalues A₁,..., An with the same independent eigenvectors ₁,...,n. Then A = B. Reason: Any vector x is a combination C₁1++Cnn. What is Ax? What is Ba?
Suppose A and B have the same eigenvalues A₁,..., An with the same independent eigenvectors ₁,...,n. Then A = B. Reason: Any vector x is a combination C₁1++Cnn. What is Ax? What is Ba?
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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Transcribed Image Text:Suppose A and B have the same eigenvalues A₁,..., An with the same independent
=
B. Reason: Any vector x is a combination
eigenvectors 1,...,n. Then A
C₁1++Cnn. What is Ax? What is Bx?
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