Die vereinfachte Matrix |
S0 = 1/(+1 aa + 1γ af) |
S3 = 1/(+1 cv + 1γ da) |
S6 = 1/(+1 fh) |
S1 = 1/(+1 az + 1γ be) |
S4 = 1/(+1 ds + 1γ dw) |
S7 = 1/(+1 ga) |
S2 = 1/(+1 bx + 1γ cc) |
S5 = 1/(+1 e1 + 1γ eq) |
S8 = 1/(+1 gq) |
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e0 e1 m1 |
e1 m1 |
f1 n1 |
m0 |
n0 |
e0 e1 m2 |
e1 m2 |
f0 f1 |
f1 |
m2 |
f0 f1 n1 |
1 |
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1 |
1
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0 |
0 |
+1 ad S0
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-1 aq S0
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+1 ab S0 +1γ ag S0 +1γγ aj S0
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+1 ac S0 +1γ ah S0 +1γγ ak S0
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-1 an S0 -1γ as S0 -1γγ aw S0
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-1 ap S0 -1γ au S0 -1γγ ax S0
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+1 ae S0 +1γ ai S0 +1γγ al S0
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-1 ao S0 -1γ at S0
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-1 am S0 -1γ ar S0 -1γγ av S0
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u |
0 |
1
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-1 bn S1 -1γ bs S1
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+1 bb S1
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-1 bo S1
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+1 ay S1 +1γ bd S1 +1γγ bh S1
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+1 ba S1 +1γ bf S1 +1γγ bi S1
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-1 bl S1 -1γ bq S1 -1γγ bu S1
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-1 bm S1 -1γ br S1 -1γγ bv S1
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+1 bc S1 +1γ bg S1 +1γγ bj S1
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0 |
-1 bk S1 -1γ bp S1 -1γγ bt S1
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u² |
0 |
1
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-1 cl S2 -1γ cq S2
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+1 bz S2
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-1 cm S2
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+1 bw S2 +1γ cb S2 +1γγ cf S2
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+1 by S2 +1γ cd S2 +1γγ cg S2
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-1 cj S2 -1γ co S2 -1γγ cs S2
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-1 ck S2 -1γ cp S2 -1γγ ct S2
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+1 ca S2 +1γ ce S2 +1γγ ch S2
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0 |
-1 ci S2 -1γ cn S2 -1γγ cr S2
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j |
0 |
1
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-1 dj S3 -1γ do S3
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+1 cx S3
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-1 dk S3
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+1 cu S3 +1γ cz S3 +1γγ dd S3
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+1 cw S3 +1γ db S3 +1γγ de S3
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-1 dh S3 -1γ dm S3 -1γγ dq S3
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-1 di S3 -1γ dn S3 -1γγ dr S3
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+1 cy S3 +1γ dc S3 +1γγ df S3
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0 |
-1 dg S3 -1γ dl S3 -1γγ dp S3
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| |
uj |
0 |
1
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-1 ed S4 -1γ eh S4
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+1 du S4
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-1 ee S4
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+1 bw S4 +1γ cb S4 +1γγ cf S4
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+1 dt S4 +1γ dx S4 +1γγ dz S4
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-1 cj S4 -1γ co S4 -1γγ cs S4
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-1 ec S4 -1γ eg S4 -1γγ ej S4
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+1 dv S4 +1γ dy S4 +1γγ ea S4
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0 |
-1 eb S4 -1γ ef S4 -1γγ ei S4
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| |
u²j |
0 |
1
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-1 ey S5 -1γ fd S5
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+1 en S5
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-1 ez S5
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+1 ek S5 +1γ ep S5 +1γγ af S5
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+1 em S5 +1γ er S5 +1γγ et S5
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-1 ew S5 -1γ fb S5 -1γγ at S5
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-1 ex S5 -1γ fc S5 -1γγ ff S5
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+1 eo S5 +1γ es S5 +1γγ eu S5
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0 |
-1 ev S5 -1γ fa S5 -1γγ fe S5
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| |
j² |
0 |
1
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-1 ft S6
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+1 fj S6
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-1 fu S6
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+1 fg S6 +1γ fl S6
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+1 fi S6 +1γ fm S6 +1γγ fo S6
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-1 fr S6 -1γ fw S6
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-1 fs S6 -1γ fx S6 -1γγ fz S6
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+1 fk S6 +1γ fn S6 +1γγ fp S6
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0 |
-1 fq S6 -1γ fv S6 -1γγ fy S6
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| |
uj² |
0 |
1
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-1 gk S7
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+1 gc S7
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-1 gl S7
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+1 fg S7 +1γ fl S7
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+1 gb S7 +1γ ge S7 +1γγ gg S7
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-1 fr S7 -1γ fw S7
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-1 gj S7 -1γ gn S7 -1γγ gp S7
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+1 gd S7 +1γ gf S7 +1γγ gh S7
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0 |
-1 gi S7 -1γ gm S7 -1γγ go S7
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| |
u²j² |
0 |
1
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-1 ha S8
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+1 gs S8
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-1 hb S8
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+1 fg S8 +1γ fl S8
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+1 gr S8 +1γ gu S8 +1γγ gw S8
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-1 fr S8 -1γ fw S8
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-1 gz S8 -1γ hd S8 -1γγ hf S8
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+1 gt S8 +1γ gv S8 +1γγ gx S8
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0 |
-1 gy S8 -1γ hc S8 -1γγ he S8
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und subtrahiere von den Zeilen
u², j, uj, u²j, j², uj²
jeweils u²j²
und rechne
u²j² = u²j² - u
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e0 e1 m1 |
e1 m1 |
f1 n1 |
m0 |
n0 |
e0 e1 m2 |
e1 m2 |
f0 f1 |
f1 |
m2 |
f0 f1 n1 |
1 |
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1 | 1
| 0 | 0 | +1 ad S0
| -1 aq S0
| +1 ab S0 +1γ ag S0 +1γγ aj S0
| +1 ac S0 +1γ ah S0 +1γγ ak S0
| -1 an S0 -1γ as S0 -1γγ aw S0
| -1 ap S0 -1γ au S0 -1γγ ax S0
| +1 ae S0 +1γ ai S0 +1γγ al S0
| -1 ao S0 -1γ at S0
| -1 am S0 -1γ ar S0 -1γγ av S0
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u | 0 | 1
| -1 bn S1 -1γ bs S1
| +1 bb S1
| -1 bo S1
| +1 ay S1 +1γ bd S1 +1γγ bh S1
| +1 ba S1 +1γ bf S1 +1γγ bi S1
| -1 bl S1 -1γ bq S1 -1γγ bu S1
| -1 bm S1 -1γ br S1 -1γγ bv S1
| +1 bc S1 +1γ bg S1 +1γγ bj S1
| 0 | -1 bk S1 -1γ bp S1 -1γγ bt S1
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u² | 0 | 0 | -1 cl S2 +1 ha S8 -1γ cq S2
| +1 bz S2 -1 gs S8
| -1 cm S2 +1 hb S8
| +1 bw S2 -1 fg S8 +1γ cb S2 -1γ fl S8 +1γγ cf S2
| +1 by S2 -1 gr S8 +1γ cd S2 -1γ gu S8 +1γγ cg S2 -1γγ gw S8
| -1 cj S2 +1 fr S8 -1γ co S2 +1γ fw S8 -1γγ cs S2
| -1 ck S2 +1 gz S8 -1γ cp S2 +1γ hd S8 -1γγ ct S2 +1γγ hf S8
| +1 ca S2 -1 gt S8 +1γ ce S2 -1γ gv S8 +1γγ ch S2 -1γγ gx S8
| 0 | -1 ci S2 +1 gy S8 -1γ cn S2 +1γ hc S8 -1γγ cr S2 +1γγ he S8
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j | 0 | 0 | -1 dj S3 +1 ha S8 -1γ do S3
| +1 cx S3 -1 gs S8
| -1 dk S3 +1 hb S8
| +1 cu S3 -1 fg S8 +1γ cz S3 -1γ fl S8 +1γγ dd S3
| +1 cw S3 -1 gr S8 +1γ db S3 -1γ gu S8 +1γγ de S3 -1γγ gw S8
| -1 dh S3 +1 fr S8 -1γ dm S3 +1γ fw S8 -1γγ dq S3
| -1 di S3 +1 gz S8 -1γ dn S3 +1γ hd S8 -1γγ dr S3 +1γγ hf S8
| +1 cy S3 -1 gt S8 +1γ dc S3 -1γ gv S8 +1γγ df S3 -1γγ gx S8
| 0 | -1 dg S3 +1 gy S8 -1γ dl S3 +1γ hc S8 -1γγ dp S3 +1γγ he S8
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uj | 0 | 0 | -1 ed S4 +1 ha S8 -1γ eh S4
| +1 du S4 -1 gs S8
| -1 ee S4 +1 hb S8
| +1 bw S4 -1 fg S8 +1γ cb S4 -1γ fl S8 +1γγ cf S4
| +1 dt S4 -1 gr S8 +1γ dx S4 -1γ gu S8 +1γγ dz S4 -1γγ gw S8
| -1 cj S4 +1 fr S8 -1γ co S4 +1γ fw S8 -1γγ cs S4
| -1 ec S4 +1 gz S8 -1γ eg S4 +1γ hd S8 -1γγ ej S4 +1γγ hf S8
| +1 dv S4 -1 gt S8 +1γ dy S4 -1γ gv S8 +1γγ ea S4 -1γγ gx S8
| 0 | -1 eb S4 +1 gy S8 -1γ ef S4 +1γ hc S8 -1γγ ei S4 +1γγ he S8
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u²j | 0 | 0 | -1 ey S5 +1 ha S8 -1γ fd S5
| +1 en S5 -1 gs S8
| -1 ez S5 +1 hb S8
| +1 ek S5 -1 fg S8 +1γ ep S5 -1γ fl S8 +1γγ af S5
| +1 em S5 -1 gr S8 +1γ er S5 -1γ gu S8 +1γγ et S5 -1γγ gw S8
| -1 ew S5 +1 fr S8 -1γ fb S5 +1γ fw S8 -1γγ at S5
| -1 ex S5 +1 gz S8 -1γ fc S5 +1γ hd S8 -1γγ ff S5 +1γγ hf S8
| +1 eo S5 -1 gt S8 +1γ es S5 -1γ gv S8 +1γγ eu S5 -1γγ gx S8
| 0 | -1 ev S5 +1 gy S8 -1γ fa S5 +1γ hc S8 -1γγ fe S5 +1γγ he S8
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j² | 0 | 0 | -1 ft S6 +1 ha S8
| +1 fj S6 -1 gs S8
| -1 fu S6 +1 hb S8
| +1 fg S6 -1 fg S8 +1γ fl S6 -1γ fl S8
| +1 fi S6 -1 gr S8 +1γ fm S6 -1γ gu S8 +1γγ fo S6 -1γγ gw S8
| -1 fr S6 +1 fr S8 -1γ fw S6 +1γ fw S8
| -1 fs S6 +1 gz S8 -1γ fx S6 +1γ hd S8 -1γγ fz S6 +1γγ hf S8
| +1 fk S6 -1 gt S8 +1γ fn S6 -1γ gv S8 +1γγ fp S6 -1γγ gx S8
| 0 | -1 fq S6 +1 gy S8 -1γ fv S6 +1γ hc S8 -1γγ fy S6 +1γγ he S8
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uj² | 0 | 0 | -1 gk S7 +1 ha S8
| +1 gc S7 -1 gs S8
| -1 gl S7 +1 hb S8
| +1 fg S7 -1 fg S8 +1γ fl S7 -1γ fl S8
| +1 gb S7 -1 gr S8 +1γ ge S7 -1γ gu S8 +1γγ gg S7 -1γγ gw S8
| -1 fr S7 +1 fr S8 -1γ fw S7 +1γ fw S8
| -1 gj S7 +1 gz S8 -1γ gn S7 +1γ hd S8 -1γγ gp S7 +1γγ hf S8
| +1 gd S7 -1 gt S8 +1γ gf S7 -1γ gv S8 +1γγ gh S7 -1γγ gx S8
| 0 | -1 gi S7 +1 gy S8 -1γ gm S7 +1γ hc S8 -1γγ go S7 +1γγ he S8
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u²j² | 0 | 0 | +1 bn S1 -1 ha S8 +1γ bs S1
| -1 bb S1 +1 gs S8
| +1 bo S1 -1 hb S8
| -1 ay S1 +1 fg S8 -1γ bd S1 +1γ fl S8 -1γγ bh S1
| -1 ba S1 +1 gr S8 -1γ bf S1 +1γ gu S8 -1γγ bi S1 +1γγ gw S8
| +1 bl S1 -1 fr S8 +1γ bq S1 -1γ fw S8 +1γγ bu S1
| +1 bm S1 -1 gz S8 +1γ br S1 -1γ hd S8 +1γγ bv S1 -1γγ hf S8
| -1 bc S1 +1 gt S8 -1γ bg S1 +1γ gv S8 -1γγ bj S1 +1γγ gx S8
| 0 | +1 bk S1 -1 gy S8 +1γ bp S1 -1γ hc S8 +1γγ bt S1 -1γγ he S8
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Weiter geht es ähnlich dem Gaußschen Eliminationsverfahren
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