February 2015
Intermediate to advanced
392 pages
17h 52m
German
Content preview from Mathematik für Wirtschaftswissenschaftler, 2nd Edition
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102
Kapitel 4. Vektoren und lineare Gleichungssysteme
Das gesuchte Polynom ist also χ p
2
(x) = 1 + llx — x
2
).
In der Abbildung 4.11 sind das bereits berechnete Interpolationspolynom p
2
sowie drei
weitere zu den jeweils angegebenen Stützpunkten
(XQ,
yo),{xi,yi), • • • dargestellt:
Pi mit den Stützpunkten (1,1), (7,3), p
3
mit den Stützpunkten (1,1), (3,2), (4,3), (7,3),
p
4
mit den Stützpunkten (1,1), (3,2), (4,3), (6,2), (7,3).
26
Abb. 4.11: Interpolationspolynome zu gegebenen Stützpunkten
4.6 Aufgaben zum Kapitel 4
Aufgabe 4.1 (Linearkombinationen, Lineare Hülle, Basis)
(a) Bestimmen Sie den Rang des Systems 5, das aus den Vektoren u
x
= (0,1,
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