Lineare Algebra Beispiele

Ermittle die normierte Zeilenstufenform
[722227][722227]
Schritt 1
Multiply each element of R1R1 by 1717 to make the entry at 1,11,1 a 11.
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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
Perform the row operation R2=R2-2R1R2=R22R1 to make the entry at 2,12,1 a 00.
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Schritt 2.1
Perform the row operation R2=R2-2R1R2=R22R1 to make the entry at 2,12,1 a 00.
[127272-212-2(27)7-2(27)]1272722122(27)72(27)
Schritt 2.2
Vereinfache R2.
[127270107457]
[127270107457]
Schritt 3
Multiply each element of R2 by 710 to make the entry at 2,2 a 1.
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Schritt 3.1
Multiply each element of R2 by 710 to make the entry at 2,2 a 1.
[127277100710107710457]
Schritt 3.2
Vereinfache R2.
[127270192]
[127270192]
Schritt 4
Perform the row operation R1=R1-27R2 to make the entry at 1,2 a 0.
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Schritt 4.1
Perform the row operation R1=R1-27R2 to make the entry at 1,2 a 0.
[1-27027-27127-27920192]
Schritt 4.2
Vereinfache R1.
[10-10192]
[10-10192]
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 [x2  12  π  xdx ] 
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