6a8208aa-8bd4-40d5-9e07-350bd32ebf6c 58 4 5 false false 0 decimal
&[DATE] &[TIME] - &[FILENAME]
&[PAGENUM] / &[COUNT]
 https://de.smath.com/cloud/worksheet/nuDESWg8 1 λ - ( 2 ^ 1 λ 1 1 λ - ( 2 λ - ( * + ( * - ( * 1 - λ + ( 5 ^ - 1 0 1 1 1 - 0 0 0 0 0 1 0 0 1 - 1 0 0 0 1 - 1 1 0 0 0 0 0 5 5 mat 1 1 4

EW 1 5-fach mit DimEigenraum=2 (bug ?)

0 1 1 1 - 0 0 0 0 0 1 0 0 1 - 1 0 0 0 1 - 1 1 0 0 0 0 0 5 5 mat 0 1 1 1 - 0 0 0 0 0 1 0 0 1 - 1 0 0 0 0 0 1 0 0 0 0 0 5 5 mat 0 1 1 1 - 0 0 0 0 0 1 0 0 1 - 1 0 0 0 0 0 0 0 0 0 0 0 5 5 mat 0 1 0 0 0 0 0 0 0 1 0 0 1 - 1 0 0 0 0 0 0 0 0 0 0 0 5 5 mat 1 2

EV1 x1=1 /\ x2=0, x5=0 ==> x3=x4, x4=1

 1 0 0 0 0 5 1 mat 0 0 1 1 0 5 1 mat

Dim ER = 2 ===> 5 HV zu EV1/EV2 ===> suche N mit n-rank(A-λ*E)^N = 5

 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 mat 5

EV1 ==> Einheitsbasis e1...e5

1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 5 5 mat 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 5 5 mat

HV Kandidat ¬ € HVKern(N-1) ===> e5

 0 0 0 0 1 5 1 mat 0 1 0 1 0 5 1 mat 0 0 1 1 0 5 1 mat 0 0 0 0 0 5 1 mat

===> HV Stufe 2 suche in (A-λ*E)^(N-1)

 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 5 5 mat

x5=0

 0 1 1 1 - 0 0 0 0 0 0 1 - 1 0 0 1 - 1 0 0 0 0 5 4 mat

HV2 Kandidaten ¬ € HVKern ===> e2

 0 1 0 0 0 5 1 mat 1 0 0 0 0 5 1 mat

Ergibt 2 Jordanblöcke 3 + 2

 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 5 5 mat 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 5 5 mat

https://de.smath.com/cloud/worksheet/nuDESWg8