Lineare Gleichungssysteme rechnerisch
Wir haben bereits kennengelernt, wie wir im CAS Gleichungen lösen können.
Bsp:
Mit Hilfe des Befehls "löse()" können wir auch Gleichungssysteme rechnerisch lösen.
Wir benötigen dazu wieder den Befehl löse(), allerdings müssen wir die beiden Gleichungen als "Liste" in geschwungenen Klammern { } eintippen. Die Klammern erhältst du mit den Tasten AltGr + 7 bzw. AltGr + 0.
Bsp:
Aufgabe 1
Löse das lineare Gleichungssystem, das du vorhin schon grafisch gelöst hast, nochmal rechnerisch im CAS.
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)