Lineare Algebra Beispiele

Bestimme den Rang [[0,1,2],[3,4,5],[6,7,8]]
Schritt 1
Ermittele die normierte Zeilenstufenform.
Tippen, um mehr Schritte zu sehen ...
Schritt 1.1
Swap with to put a nonzero entry at .
Schritt 1.2
Multiply each element of by to make the entry at a .
Tippen, um mehr Schritte zu sehen ...
Schritt 1.2.1
Multiply each element of by to make the entry at a .
Schritt 1.2.2
Vereinfache .
Schritt 1.3
Perform the row operation to make the entry at a .
Tippen, um mehr Schritte zu sehen ...
Schritt 1.3.1
Perform the row operation to make the entry at a .
Schritt 1.3.2
Vereinfache .
Schritt 1.4
Perform the row operation to make the entry at a .
Tippen, um mehr Schritte zu sehen ...
Schritt 1.4.1
Perform the row operation to make the entry at a .
Schritt 1.4.2
Vereinfache .
Schritt 1.5
Perform the row operation to make the entry at a .
Tippen, um mehr Schritte zu sehen ...
Schritt 1.5.1
Perform the row operation to make the entry at a .
Schritt 1.5.2
Vereinfache .
Schritt 2
The pivot positions are the locations with the leading in each row. The pivot columns are the columns that have a pivot position.
Pivot Positions: and
Pivot Columns: and
Schritt 3
The rank is the number of pivot columns.