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Let A be a constant 4 x 4 matrix. It is know that the general solution of a system of linear differential equation = Ax is given by 3 4 x(t) = c1e¯21 + cze-21 + cze2! -2 + c4e¬! 3 Is matrix A diagonalizable?

Let A be a constant 4 x 4 matrix. It is know that the general solution of a system of linear differential equation = Ax is given by 3 4 x(t) = c1e¯21 + cze-21 + cze2! -2 + c4e¬! 3 Is matrix A diagonalizable?

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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Let A be a constant 4 x 4 matrix. It is know that the general solution of a system of linear differential equation x' Ax is given by -3 3 4 -2 -2t x(t) = cje-21 + c2e¬21 + cze2t + C4e¬t 3 Is matrix A diagonalizable?
Transcribed Image Text:Let A be a constant 4 x 4 matrix. It is know that the general solution of a system of linear differential equation x' Ax is given by -3 3 4 -2 -2t x(t) = cje-21 + c2e¬21 + cze2t + C4e¬t 3 Is matrix A diagonalizable?
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