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Oplossen van willekeurige stelsels met spilmethode

Oplossen van willekeurige stelsels met spilmethode. Lineaire combinatie toepassen op uitgebreide matrix Elementaire rijoperaties verwisselen van 2 rijen  R 12 veelvoud van een rij  r.R 2 combinatie meerdere rijen  r.R 1 +s.R 2

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Oplossen van willekeurige stelsels met spilmethode

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  1. Oplossen van willekeurige stelsels met spilmethode • Lineaire combinatie toepassen op uitgebreide matrix • Elementaire rijoperaties • verwisselen van 2 rijen R12 • veelvoud van een rij r.R2 • combinatie meerdere rijen r.R1+s.R2 • Na een eindig aantal elementaire rijoperaties ontstaan rij-equivalente matrices

  2. Spilmethode: Verander de eerste kolom in en laat de eerste rij onveranderd; spil

  3. Vereenvoudig rij 1 en 3

  4. Vereenvoudig rij 1 en 2

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