Finite Mathematik Beispiele

Solve Using a Matrix by Elimination v=3i+j , w=i+3j
,
Schritt 1
Move variables to the left and constant terms to the right.
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Schritt 1.1
Subtrahiere von beiden Seiten der Gleichung.
Schritt 1.2
Stelle und um.
Schritt 1.3
Subtrahiere von beiden Seiten der Gleichung.
Schritt 1.4
Stelle und um.
Schritt 2
Write the system as a matrix.
Schritt 3
Ermittele die normierte Zeilenstufenform.
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Schritt 3.1
Multiply each element of by to make the entry at a .
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Schritt 3.1.1
Multiply each element of by to make the entry at a .
Schritt 3.1.2
Vereinfache .
Schritt 3.2
Perform the row operation to make the entry at a .
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Schritt 3.2.1
Perform the row operation to make the entry at a .
Schritt 3.2.2
Vereinfache .
Schritt 3.3
Multiply each element of by to make the entry at a .
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Schritt 3.3.1
Multiply each element of by to make the entry at a .
Schritt 3.3.2
Vereinfache .
Schritt 3.4
Perform the row operation to make the entry at a .
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Schritt 3.4.1
Perform the row operation to make the entry at a .
Schritt 3.4.2
Vereinfache .
Schritt 4
Use the result matrix to declare the final solution to the system of equations.
Schritt 5
The solution is the set of ordered pairs that make the system true.