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VI. Egenvektorer og diagonalisering – 1. Egenvektorer 438 med tilhørende egenværdier λ1 = −1,λ2 = 3 1.7. Gættet eksempel ☞ [LA] 9 Egenværdier og egenvektorer Eksempel - fortsat Dette følger af udregningerne −1 0 0 3 1 = 0 −1 0 0 0 3 1 −1 1 = (−1) 0 0 Au1 = λ1u1 = Au2 = λ2u2 0 0 = 3 3 1 1.8. Gættet eksempel ☞ [LA] 9 Egenværdier og egenvektorer Eksempel - fortsat - figur
VI. Egenvektorer og diagonalisering – 1. Egenvektorer 439 y Au1 = u1 Au2 = 3u2 u2 1.9. Note eksempel ☞ [LA] 9 Egenværdier og egenvektorer Eksempel 1 Af udregningen 3 3 −3 −6 −3 = = 2 −2 −4 1 2 1 3 3 −3 fås, at matricen A = har en egentlig egenvektor u = −2 −4 1 u1 x med egenværdi λ = 2. 1.10. Note eksempel ☞ [LA] 9 Egenværdier og egenvektorer
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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 - 4. Kædereglen
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I. Differentiation - 7. Lagrangemet
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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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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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