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Spezielle Vektoren Nullvektor Einheitsvektor Ortsvektor Jeder Vektor vom Betrag Null, 161 = 0, heiBt Nullvektor (fur ihn laBt sich keine Richtung angeben). 6: e: Jeder Vektor vom Betrag Eins, oder Einsvektor bezeichnet. r (P) = oP: lei = 1, wird als Einheitsvektor Er flihrt vom Koordinatenursprung 0 zum Punkte P. 2 Gleichheit von Vektoren Defmitioo: Zwei Vektoren a und b werden als gleich betrachtet, in Betrag und Richtung iibereinstimmen (BildII-3). I; a = b, wenn sie Bild 11-3 Zum Begriff der Gleichheit zweier Vektoren Vektoren sind demnach gleich, wenn sie durch Parallelverschiebung ineinander liberfuhrbar sind.

Wir fassen zusammen: Losungsverhalten eines Iinearen Gleichungssystems 1. lnhomogenes lineares Gleichungssystem A x = C Das System besitzt entweder genau eine Losung oder unendlich viele Lasungen oder aberhaupt keine LOsung. 2. Homogenes lineares Gleichungssystem A x = 0 Das System besitzt entweder genau eine Lasung, namlieh die triviale Losung x = 0, oder unendlich viele Losungen (darunter die trivia Ie Lasung). Anmerkungen (1) Diese Aussagen gelten aueh fUr nicht-quadratische line are Gleiehungssysteme.

4) In we1chen Anordnungsbeziehungen stehen die Zahlen a = 2, b = - 5 und c = 8 zueinander? 5) Skizzieren Sie die folgenden Zahlenmengen auf der Zahlengerade: a) (2, 10) d) A = {x Ix E lR <4 x > 2 b) und definierte Teilmenge von IN* in auJziihlen- c) - 8

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Basic Theory and Application of Transistors by Department of the Army


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