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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUklbXN1YkdGJDYmLUkjbWlHRiQ2I1EhRictRiM2KS1GLzYpUSJlRicvJSVzaXplR1EjMjBGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHRjwvJStmb3JlZ3JvdW5kR1EqWzI1NSwwLDBdRicvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnRjdGOkY9Rj9GQkZFLyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvSSttc2VtYW50aWNzR0YkUSdhdG9taWNGJy1GLDYmLUYvNilRIk1GJ0Y3RjpGPUY/RkJGRS1GIzYpLUYvNilRImFGJ0Y3RjpGPUY/RkJGRUY3RjpGPUY/RkJGRUZIRkstSSNtb0dGJDYxUScmc2RvdDtGJ0Y3RjpGPy9GQ0ZHRkUvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRmluLyUpc3RyZXRjaHlHRmluLyUqc3ltbWV0cmljR0Zpbi8lKGxhcmdlb3BHRmluLyUubW92YWJsZWxpbWl0c0dGaW4vJSdhY2NlbnRHRmluLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGaG8tRi82KVEjYVFGJ0Y3RjpGPUY/RkJGRS1GWTYxUSI9RidGN0Y6Rj9GZm5GRUZnbkZqbkZcb0Zeb0Zgb0Zib0Zkby9GZ29RLDAuMjc3Nzc3OGVtRicvRmpvRmJwLUYvNilRI2VRRidGN0Y6Rj1GP0ZCRkVGN0Y6Rj9GZm5GRQ==(hvor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEjYVFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSpbMjU1LDAsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGMi9GNlEnbm9ybWFsRic= og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEjZVFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSpbMjU1LDAsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGMi9GNlEnbm9ybWFsRic= er 3\303\2273 matricer med de oprindelige vektorer som s\303\270jler).Den ubekendte i matrix-ligningen er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2KS1GLzYpUSJlRicvJSVzaXplR1EjMjBGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHRjwvJStmb3JlZ3JvdW5kR1EqWzI1NSwwLDBdRicvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnRjdGOkY/LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnL0ZDRkdGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYsNiUtRi82KVEiTUYnRjdGOkY9Rj9GQkZFLUYjNiktRi82KVEiYUYnRjdGOkY9Rj9GQkZFRjdGOkY/RkhGS0ZFRkxGLkY3RjpGP0ZIRktGRQ==Metode 1:L\303\270ser ligningen ved at gange med 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 p\303\245 begge sider:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLzYnUSJlRicvJSdpdGFsaWNHUSV0cnVlRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwxNTMsMjA0XUYnLyUnb3BhcXVlR0Y5LyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y3RjpGPUY/LyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvSSttc2VtYW50aWNzR0YkUSdhdG9taWNGJy1GLDYmLUYvNidRIk1GJ0Y3RjpGPUY/LUYjNictRi82J1EiYUYnRjdGOkY9Rj9GN0Y6Rj1GP0ZCRkUtSSNtb0dGJDYvUScmc2RvdDtGJ0Y6Rj0vRkBRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZaLyUpc3RyZXRjaHlHRlovJSpzeW1tZXRyaWNHRlovJShsYXJnZW9wR0ZaLyUubW92YWJsZWxpbWl0c0dGWi8lJ2FjY2VudEdGWi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmNvLUYvNidRI2FRRidGN0Y6Rj1GPy1GUzYvUSI9RidGOkY9RlZGWEZlbkZnbkZpbkZbb0Zdb0Zfby9GYm9RLDAuMjc3Nzc3OGVtRicvRmVvRl1wLUYvNidRI2VRRidGN0Y6Rj1GP0Y6Rj1GVg== \342\207\224 (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: 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Metode 2:Den ubekendte i ligningen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1YkdGJDYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLzYlUSJlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y7USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRictRiw2Ji1GLzYlUSJNRidGN0Y6LUYjNiQtRi82JVEiYUYnRjdGOkY9Rj9GQi1JI21vR0YkNi1RJyZzZG90O0YnRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRlUvJSlzdHJldGNoeUdGVS8lKnN5bW1ldHJpY0dGVS8lKGxhcmdlb3BHRlUvJS5tb3ZhYmxlbGltaXRzR0ZVLyUnYWNjZW50R0ZVLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGXm8tRi82JVEkYVEzRidGN0Y6LUZQNi1RIj1GJ0Y9RlNGVkZYRlpGZm5GaG5Gam4vRl1vUSwwLjI3Nzc3NzhlbUYnL0Zgb0Zoby1GLzYlUSRlUTNGJ0Y3RjpGPQ== er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLzYlUSJlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y7USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRictRiw2Ji1GLzYlUSJNRidGN0Y6LUYjNiQtRi82JVEiYUYnRjdGOkY9Rj9GQkY9. Dvs. man kan ikke umiddelbart anvende LinearSolve(A,B)-kommandoen.LinearSolve(A,B) l\303\270ser nemlig ligningen: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJyZzZG90O0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUYsNiVRIlhGJ0YvRjItRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yNzc3Nzc4ZW1GJy9GTkZWLUYsNiVRIkJGJ0YvRjJGOQ==. Man skal f\303\270rst have flyttet den ubekendte, s\303\245 den st\303\245r til h\303\270jre i matrix-produktet.Ligningen omskrives til formen "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" ved brug af transponering: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 \342\207\224 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hvor 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Det betyder, at den s\303\270gte basisskiftematrix LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLzYlUSJlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y7USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRictRiw2Ji1GLzYlUSJNRidGN0Y6LUYjNiQtRi82JVEiYUYnRjdGOkY9Rj9GQkY9 f\303\245s som LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIlRGJ0YyRjVGMkY1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJy9GNlEnbm9ybWFsRic=, n\303\245r ligningen kan l\303\270ses med "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", hvor 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 og 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Metode 3:Den ubekendte i ligningen 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 er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLzYlUSJlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y7USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRictRiw2Ji1GLzYlUSJNRidGN0Y6LUYjNiQtRi82JVEiYUYnRjdGOkY9Rj9GQkY9. Dvs. man kan ikke umiddelbart anvende LinearSolve(A,B)-kommandoen.LinearSolve(A,B) l\303\270ser nemlig ligningen: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJyZzZG90O0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUYsNiVRIlhGJ0YvRjItRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yNzc3Nzc4ZW1GJy9GTkZWLUYsNiVRIkJGJ0YvRjJGOQ==. Man skal f\303\270rst have flyttet den ubekendte, s\303\245 den st\303\245r til h\303\270jre i matrix-produktet.Ligningen omskrives til formen "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" ved brug af invertering: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 \342\207\224 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'erne st\303\245r nu som s\303\270jler udtrykt ved standard-basis (monomiske basis):Konklusion: 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