0
Hi ich bin gerade an einer Aufgabe aus der Verantstaltung Lineare Algebra 1. Die Aufgabe sieht folgendermaßen aus:
![](data:image/png;base64,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)
Der Ansatz in der Lösung ist, zu prüfen ob die Ebenen in der Schnittmenge =0 oder ungleich 0 sind. Dafür werden sie gleichgesetzt. Das Gleichungssystem ist widersprüchlich. Das bedeutet in der Lösung dass die Schnittmenge der Ebenen =0 ist. Das verstehe ich nicht ganz.
Als nächstes wird daraus die Dimensionsformel abgeleitet:
![](data:image/png;base64,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)
Ich blicke leider nicht ganz durch wie man zu der Dimensionsformel kommt und wieso man danach Untervektorräume wählen muss und gleichsetzen soll.
Vielleicht kann mich ja jemand aufklären und mir einen Ansatz geben :)
MfG
Der Ansatz in der Lösung ist, zu prüfen ob die Ebenen in der Schnittmenge =0 oder ungleich 0 sind. Dafür werden sie gleichgesetzt. Das Gleichungssystem ist widersprüchlich. Das bedeutet in der Lösung dass die Schnittmenge der Ebenen =0 ist. Das verstehe ich nicht ganz.
Als nächstes wird daraus die Dimensionsformel abgeleitet:
Ich blicke leider nicht ganz durch wie man zu der Dimensionsformel kommt und wieso man danach Untervektorräume wählen muss und gleichsetzen soll.
Vielleicht kann mich ja jemand aufklären und mir einen Ansatz geben :)
MfG
Diese Frage melden
gefragt
user369934
Punkte: 16
Punkte: 16