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show that if then where 1₁, 1₂, A E MA (IR) is diagonalizable " det A) = πTAK = 2₁ d₂... de 1₂1 are the eigenvalues of A

show that if then where 1₁, 1₂, A E MA (IR) is diagonalizable " det A) = πTAK = 2₁ d₂... de 1₂1 are the eigenvalues of A

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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show that if A & Max (IR) is diagonalizable ЛХИ then " detaJ = TT A = A, de dal where d₁, 1₂,... are the eigenvalues of A dy dz...du
Transcribed Image Text:show that if A & Max (IR) is diagonalizable ЛХИ then " detaJ = TT A = A, de dal where d₁, 1₂,... are the eigenvalues of A dy dz...du
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