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Algèbre linéaire Exemples
Étape 1
Étape 1.1
Swap with to put a nonzero entry at .
Étape 1.2
Multiply each element of by to make the entry at a .
Étape 1.2.1
Multiply each element of by to make the entry at a .
Étape 1.2.2
Simplifiez .
Étape 1.3
Perform the row operation to make the entry at a .
Étape 1.3.1
Perform the row operation to make the entry at a .
Étape 1.3.2
Simplifiez .
Étape 1.4
Perform the row operation to make the entry at a .
Étape 1.4.1
Perform the row operation to make the entry at a .
Étape 1.4.2
Simplifiez .
Étape 1.5
Multiply each element of by to make the entry at a .
Étape 1.5.1
Multiply each element of by to make the entry at a .
Étape 1.5.2
Simplifiez .
Étape 1.6
Perform the row operation to make the entry at a .
Étape 1.6.1
Perform the row operation to make the entry at a .
Étape 1.6.2
Simplifiez .
Étape 1.7
Perform the row operation to make the entry at a .
Étape 1.7.1
Perform the row operation to make the entry at a .
Étape 1.7.2
Simplifiez .
Étape 1.8
Perform the row operation to make the entry at a .
Étape 1.8.1
Perform the row operation to make the entry at a .
Étape 1.8.2
Simplifiez .
Étape 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
Étape 3
The rank is the number of pivot columns.