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V. Matricer – 4. Determinanter 424 • Ombytning af to rækker: 0 1 1 0 = −1 • Multiplikation af række med tal = 0: 1 0 0 r = r • Addition af et multiplum af en række til en anden: 1 r 0 1 = 1 4.10. Rækkeregneregler ☞ [LA] 8 Determinanter Regler Beregning af determinant • Ombytning af to rækker: Determinanten skifter fortegn • Multiplikation af række med tal: Determinanten multipliceres med samme tal • Addition af et multiplum af en række til en anden: Determinanten er uændret
V. Matricer – 4. Determinanter 425 4.11. Søjleregneregler ☞ [LA] 8 Determinanter Regler Beregning af determinant • Ombytning af to søjler: Determinanten skifter fortegn • Multiplikation af søjle med tal: Determinanten multipliceres med samme tal • Addition af et multiplum af en søjle til en anden: Determinanten er uændret 4.12. Determinanten er nul ☞ [LA] 8 Determinanter Bemærk Observationer om determinant nul • En 0-række eller en 0-søjle: Determinanten er 0 • To ens rækker eller to ens søjler: Determinanten er 0 Eksempel 1 3 1 0 2 5 2 8 2 7 2 1 1 9 1 2 = 0
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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1. Grafiske/numeriske metoder IV Di
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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