Matemática discreta Exemplos

Resolva Usando uma Matriz por Operações de Linha 5x-y-z=0 , x+y+z=6
,
Etapa 1
Write the system as a matrix.
Etapa 2
Encontre a forma escalonada reduzida por linhas.
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Etapa 2.1
Multiply each element of by to make the entry at a .
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Etapa 2.1.1
Multiply each element of by to make the entry at a .
Etapa 2.1.2
Simplifique .
Etapa 2.2
Perform the row operation to make the entry at a .
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Etapa 2.2.1
Perform the row operation to make the entry at a .
Etapa 2.2.2
Simplifique .
Etapa 2.3
Multiply each element of by to make the entry at a .
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Etapa 2.3.1
Multiply each element of by to make the entry at a .
Etapa 2.3.2
Simplifique .
Etapa 2.4
Perform the row operation to make the entry at a .
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Etapa 2.4.1
Perform the row operation to make the entry at a .
Etapa 2.4.2
Simplifique .
Etapa 3
Use the result matrix to declare the final solution to the system of equations.
Etapa 4
The solution is the set of ordered pairs that make the system true.