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V. Matricer – 1. Vektorer og matricer 374 Matricen 0 = (0) med alle indgange lig 0 kaldes nulmatricen. 1.14. Matrix række/søjle ☞ [LA] 2 Matricer Definition En m × n-matrix A = (aij)i=1...m,j=1...n har i-te række og j-te søjle ai• = ai1 ... ain a •j = ⎛ ⎜ ⎝ 1.15. Rækker og søjler Eksempel ☞ [LA] 2 Matricer m = 1 rækkevektor/rækkematrix a1 ... an n = 1 søjlevektor/søjlematrix ⎛ ⎜ ⎝ a1 . am a1j . amj ⎞ ⎟ ⎠ ⎞ ⎟ ⎠
V. Matricer – 1. Vektorer og matricer 375 1.16. 3x4 matrix Eksempler ☞ [LA] 2 Matricer 3 × 4-matrix ⎛ 1 2 0 ⎞ −2 ⎝−1 8 3 4 ⎠ 5 4 3 1 4-rækkematrix 6 2 9 −2 3-søjlematrix ⎛ ⎞ 5 ⎝ 0 ⎠ −5 1.17. Addition skalering ☞ [LA] 2 Matricer Definition Sum, Skalarmultiplikation To m × n-matricer kan adderes til en m × n-matrix. En matrix kan skaleres. A = (aij)i=1...m,j=1...n B = (bij)i=1...m,j=1...n A + B = (aij + bij)i=1...m,j=1...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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I. Differentiation - 1. Kontinuitet
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1. Grafiske/numeriske metoder IV Di
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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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