Lineare Algebra Beispiele
[722227][722227]
Schritt 1
Schritt 1.1
Multiply each element of R1R1 by 1717 to make the entry at 1,11,1 a 11.
[772727227][772727227]
Schritt 1.2
Vereinfache R1R1.
[12727227][12727227]
[12727227][12727227]
Schritt 2
Schritt 2.1
Perform the row operation R2=R2-2R1R2=R2−2R1 to make the entry at 2,12,1 a 00.
[127272-2⋅12-2(27)7-2(27)]⎡⎢⎣127272−2⋅12−2(27)7−2(27)⎤⎥⎦
Schritt 2.2
Vereinfache R2.
[127270107457]
[127270107457]
Schritt 3
Schritt 3.1
Multiply each element of R2 by 710 to make the entry at 2,2 a 1.
[12727710⋅0710⋅107710⋅457]
Schritt 3.2
Vereinfache R2.
[127270192]
[127270192]
Schritt 4
Schritt 4.1
Perform the row operation R1=R1-27R2 to make the entry at 1,2 a 0.
[1-27⋅027-27⋅127-27⋅920192]
Schritt 4.2
Vereinfache R1.
[10-10192]
[10-10192]