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VI. Egenvektorer og diagonalisering – 2. Diagonalisering 472 cos(θ) = a · b a b = a1b1 + a2b2 a2 1 + a2 2 b2 1 + b2 2 2.34. Vinkel ☞ [S] 9.3 The dot product y b=( 2,2) a=(1,3) Vinkel mellem vektorer 2.35. Prikprodukt ☞ [S] 9.3 The dot product Eksempel x
VI. Egenvektorer og diagonalisering – 2. Diagonalisering 473 Vektorerne a = (1,3) og b = (−2,2) har prikprodukt og længder og vinkel mellem sig a · b = 1 · (−2) + 3 · 2 = 4 a = √ a · a = √ 10 b = √ b · b = √ 8 θ = cos −1 4 ( √ √ ) ≈ 63.4 10 8 ◦ 2.36. Skalarprodukt ☞ [LA] 11 Skalarprodukt i Rn Definition For vektorer a = (a1,...,an),b = (b1,...,bn) i Rn er skalarproduktet n a · b = og lœngden, normen er i=1 aibi a = √ a · a 2.37. Enhedsvektor ☞ [LA] 11 Skalarprodukt i R n
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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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1. Vektorer og matricer V Matricer
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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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