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VI. Egenvektorer og diagonalisering – 1. Egenvektorer 446 Eksempel 2 - fortsat - figur E2 ( 3,1) E 3 ( .5,1) 1.23. Tredjegradsligning ☞ [LA] 9 Egenværdier og egenvektorer Eksempel 3 1 − λ 0 1 0 1 − λ 1 2 −1 1 − λ = (1 − λ) 1 − λ 1 −1 1 − λ − 0 0 1 −2 1 − λ + 10 2 1 − λ −1 y 1 1 x
VI. Egenvektorer og diagonalisering – 1. Egenvektorer 447 har tre rødder = −λ 3 + 3λ 2 − 2λ λ = 0, 1, 2 1.24. Egenværdier Eksempel 3 - fortsat ☞ [LA] 9 Egenværdier og egenvektorer 3 × 3-matricen ⎛ 1 A = ⎝0 0 1 ⎞ 1 1⎠ har karakteristisk polynomium 2 −1 1 og egenværdier |A − λI3| = −λ 3 + 3λ 2 − 2λ λ1 = 0, λ2 = 1, λ3 = 2 1.25. Egenvektorer ☞ [LA] 9 Egenværdier og egenvektorer Eksempel 3, 4
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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 - 6. Maksimum/mi
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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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 - 3. Gene
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1. Vektorer og matricer V Matricer
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V. Matricer - 1. Vektorer og matric
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V. Matricer - 2. Lineære afbildnin
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VII. Skalarprodukt og projektion -
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VIII. Appendiks - 1. Polære koordi
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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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