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EigenVectors return equations not vectors #320

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Isomorph70 opened this issue Aug 25, 2020 · 0 comments
Open

EigenVectors return equations not vectors #320

Isomorph70 opened this issue Aug 25, 2020 · 0 comments
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bug math

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@Isomorph70
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Out> {{6,2,-2},{2,6,-2},{-2,-2,6}}
In> ata24:=%
Out> {{6,2,-2},{2,6,-2},{-2,-2,6}}
In> EigenValues(%)
Out> {4,4,10}
In> e24:=%
Out> {4,4,10}
In> EigenVectors(ata24,e24)
Out> {{k1==k1,k2==(4*k1+2*k3-6*k1)/2,k3==k3},{k1==k1,k2==(4*k1+2*k3-6*k1)/2,k3==k3},{k1== -k3,k2==(10*k1+2*k3-6*k1)/2,k3==k3}}

Verify([Local(a);a:={{6,2,-2},{2,6,-2},{-2,-2,6}};Length(Difference(EigenVectors(a,EigenValues(a)),{{1,0,1},{-1,1,0},{-1,-1,1}}))=0;],True)
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@grzegorzmazur @Isomorph70