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a square = (v₁, U2,..., Un) is a corresponding eigenvector, Av=Av. Prove that e X is an eigenvalue of A and Av=Av. Here is the complex conjugate of the ctor V, V (U1, U2,..., Un). ppose v =

a square = (v₁, U2,..., Un) is a corresponding eigenvector, Av=Av. Prove that e X is an eigenvalue of A and Av=Av. Here is the complex conjugate of the ctor V, V (U1, U2,..., Un). ppose v =

Advanced Engineering Mathematics
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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2.2. Let A be a square matrix with real entries, and let λ be its complex eigenvalue. Suppose v = (v₁, V2,...,Un) is a corresponding eigenvector, Av = Av. Prove that the X is an eigenvalue of A and Av=Xv. Here v is the complex conjugate of the vector V, V = (1, U2,..., Un).
Transcribed Image Text:2.2. Let A be a square matrix with real entries, and let λ be its complex eigenvalue. Suppose v = (v₁, V2,...,Un) is a corresponding eigenvector, Av = Av. Prove that the X is an eigenvalue of A and Av=Xv. Here v is the complex conjugate of the vector V, V = (1, U2,..., Un).
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