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Question: Eigenvector output flipping

Question:Eigenvector output flipping

Ronan 1187 Maple 2024
sort eigenvalues eigenvector
April 07 2024
1

I have a problem with the order  of the Eigenvalues and Vectors flipping. It is a bit random. I only found it trying to understand why a procedure sometimes rotated a conic one way and  then the other. This a really causing a quite a problem, I have only tried this in Maple 2024 so far. I have included screen shots to prove the effect.

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restart
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with(LinearAlgebra):
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M:=Matrix([[0,1],[1,0]]);
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a,b:=Eigenvectors(M)  ;#click here and press enter again possible a 4 times, output can filp
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Matrix(2, 2, {(1, 1) = 0, (1, 2) = 1, (2, 1) = 1, (2, 2) = 0})

  

Vector[column](%id = 36893491125752073860), Matrix(%id = 36893491125752073980)

 (1)
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a

Vector(2, {(1) = 1, (2) = -1})

 (2)
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b

Matrix(2, 2, {(1, 1) = 1, (1, 2) = -1, (2, 1) = 1, (2, 2) = 1})

 (3)
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Download 2024-03-21_Q_Eigenvector_output_flipping.mw
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