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V. Matricer – 1. Vektorer og matricer 366 1.2. Taltupler ☞ [LA] 1 Koordinatvektorer Definition Det n-dimensionale koordinatvektorrum udgøres af alle n-tupler (x = x) af reelle tal og betegnes x = (x1,...,xi,...,xn) R n Taltuplen x kaldes en (koordinat)vektor med i-te koordinat xi. Vektoren, hvis koordinater alle er 0 kaldes nulvektoren. 0 = (0,...,0) 1.3. Planen ☞ [LA] 1 Koordinatvektorer Figur
V. Matricer – 1. Vektorer og matricer 367 y b 0 a (a, b) Talplanen R 2 1.4. Rummet ☞ [LA] 1 Koordinatvektorer, [S] 9.1 Three-dimensional co... Figur x
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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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V. Matricer - 3. Lineære ligninger
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V. Matricer - 4. Determinanter 419
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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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 - 3. Januar 2004 580 Eg
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IX. Opgaver - 4. August 2004 582 =
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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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