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V. Matricer – 3. Lineære ligninger 402 Løsningsmængden er (1,0,2,0) plus en vilkårlig vektor fra underrummet af alle linearkombinationer af vektorerne (−1,1,0,0), (0,0, −1,1) 3. Lineære ligninger 3.1. Oversigt ☞ [LA] 6, 7 Nøgleord og begreber ✌ Løs ligninger ✌ Eliminer ubekendte ✌ Rækkereduktion ✌ Reduceret matrix ✌ Enten-eller princippet ✌ Test ligningssystem ✌ Rækkeoperationsmatricer ✌ Beregn invers matrix 3.2. To ubekendte grafisk ☞ [LA] 5 Lineære ligningssystemer Figur
V. Matricer – 3. Lineære ligninger 403 y 1 2x y = 1 (1,1) sk ringspunkt To ligninger i to ubekendte x x + y = 2 3.3. 3 ligninger 4 ubekendte ☞ [LA] 6 Løsningsteknik Eksempel (Rækkereduktion) 2x1 − 2x2 − 4x3 − 6x4 = −16 3x1 − 2x2 − 4x3 − 3x4 = −20 −2x1 + 5x2 + 12x3 + 21x4 = 34
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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 - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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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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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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