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?

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ISBN:9780470458365
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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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