Lineare Algebra Beispiele

Solve Using a Matrix by Elimination -a+5b=12 , -a-3b=10
,
Schritt 1
Write the system as a matrix.
Schritt 2
Ermittele die normierte Zeilenstufenform.
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Schritt 2.1
Multiply each element of by to make the entry at a .
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Schritt 2.1.1
Multiply each element of by to make the entry at a .
Schritt 2.1.2
Vereinfache .
Schritt 2.2
Perform the row operation to make the entry at a .
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Schritt 2.2.1
Perform the row operation to make the entry at a .
Schritt 2.2.2
Vereinfache .
Schritt 2.3
Multiply each element of by to make the entry at a .
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Schritt 2.3.1
Multiply each element of by to make the entry at a .
Schritt 2.3.2
Vereinfache .
Schritt 2.4
Perform the row operation to make the entry at a .
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Schritt 2.4.1
Perform the row operation to make the entry at a .
Schritt 2.4.2
Vereinfache .
Schritt 3
Use the result matrix to declare the final solution to the system of equations.
Schritt 4
The solution is the set of ordered pairs that make the system true.