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V. Matricer – 1. Vektorer og matricer 376 Eksempel 1 2 + −1 8 λA = (λaij)i=1...m,j=1...n 1 2 = −1 8 2 4 = 2 −2 16 1 2 −1 8 1.18. Matrix multiplikation ☞ [LA] 2 Matricer Definition (Multiplikation) En m × n-matrix og en n × p-matrix kan multipliceres (ganges sammen) til en m × p-matrix. A = (aij)i=1...m,j=1...n B = (bjk)j=1...n,k=1...p AB = (cik)i=1...m,k=1...p cik = ai1b1k + · · · + ainbnk = n j=1 aijbjk 1.19. Gange er nemt ☞ [LA] 2 Matricer Bemærkning
V. Matricer – 1. Vektorer og matricer 377 I cik indgår kun den i-te række i første matrix og den k-te søjle i anden matrix. ⎛ ⎞ cik = ⎜ ⎜ ai1 ...aij ...ain ⎜ ⎝ b1k . bjk . bnk ⎟ ⎠ = ai1b1k + · · · + aijbjk + · · · + ainbnk 1.20. Øvelse ☞ [LA] 2 Matricer Eksempel 1 2 3 −5 −1 8 4 0 [1 · 3 + 2 · 4] = [(−1) · 3 + 8 · 4] [1 · (−5) + 2 · 0] [(−1) · (−5) + 8 · 0] 11 = 29 −5 5 1.21. Regneark ☞ [LA] 2 Matricer
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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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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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