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V. Matricer – 4. Determinanter 418 Rækkereduktionen 2 1 1 0 5 3 0 1 giver den inverse ∼ −1 2 1 = 5 3 1 0 3 −1 0 1 −5 2 3 −1 −5 2 3.32. Invers 2x2-matrix ☞ [LA] 6 Løsningsteknik Eksempel 4 - forsat Gør prøve −1 2 1 = 5 3 Udregn 2 1 3 −1 5 3 −5 2 4. Determinanter 3 −1 −5 2 = 1 0 0 1 4.1. Oversigt ☞ [LA] 8 Nøgleord og begreber ✌ Helt simple determinanter
V. Matricer – 4. Determinanter 419 ✌ Determinant defineret ✌ Effektive regneregler ✌ Genkend determinant nul ✌ Test determinant nul ✌ Produktreglen ✌ Inversreglen ✌ Test inversregel og produktregel ✌ Potensreglen ✌ Entydig løsning ✌ Test entydig løsning 4.2. Nemme determinanter ☞ [LA] 8 Determinanter Eksempler Determinanten af en kvadratisk matrix • 1-matrix |a11| = a11 • 2-matrix a11 a12 = a11a22 − a12a21 a21 a22
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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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I. Differentiation - 1. Kontinuitet
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I. Differentiation - 2. Partielle a
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I. Differentiation - 3. Tangentplan
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I. Differentiation - 4. Kædereglen
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I. Differentiation - 5. Gradient 88
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I. Differentiation - 6. Maksimum/mi
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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II. Integration - 2. Itereret integ
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II. Integration - 3. Generelle omr
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II. Integration - 4. Koordinatskift
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III. Potensrækker - 1. l’Hospita
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III. Potensrækker - 2. Talfølger
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III. Potensrækker - 3. Potensrækk
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III. Potensrækker - 4. Taylorpolyn
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1. Grafiske/numeriske metoder IV Di
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IV. Differentialligninger - 1. Graf
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IV. Differentialligninger - 2. 1. o
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IV. Differentialligninger - 3. Gene
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1. Vektorer og matricer V Matricer
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VI. Egenvektorer og diagonalisering
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VII. Skalarprodukt og projektion -
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VIII. Appendiks - 1. Polære koordi
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IX. Opgaver - 1. August 2002 524 1.
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IX. Opgaver - 1. August 2002 ⎡
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IX. Opgaver - 5. Januar 2005 594 (t
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IX. Opgaver - 5. Januar 2005 600 Gr
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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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etningsafledede, 89, 102 retningsfe
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