Matemática discreta Exemplos

Resolva Usando uma Matriz por Operações de Linha -16x+4y=16 , 4x-y=0
-16x+4y=16 , 4x-y=0
Etapa 1
Write the system as a matrix.
[-164164-10]
Etapa 2
Encontre a forma escalonada reduzida por linhas.
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Etapa 2.1
Multiply each element of R1 by -116 to make the entry at 1,1 a 1.
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Etapa 2.1.1
Multiply each element of R1 by -116 to make the entry at 1,1 a 1.
[-116-16-1164-116164-10]
Etapa 2.1.2
Simplifique R1.
[1-14-14-10]
[1-14-14-10]
Etapa 2.2
Perform the row operation R2=R2-4R1 to make the entry at 2,1 a 0.
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Etapa 2.2.1
Perform the row operation R2=R2-4R1 to make the entry at 2,1 a 0.
[1-14-14-41-1-4(-14)0-4-1]
Etapa 2.2.2
Simplifique R2.
[1-14-1004]
[1-14-1004]
Etapa 2.3
Multiply each element of R2 by 14 to make the entry at 2,3 a 1.
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Etapa 2.3.1
Multiply each element of R2 by 14 to make the entry at 2,3 a 1.
[1-14-1040444]
Etapa 2.3.2
Simplifique R2.
[1-14-1001]
[1-14-1001]
Etapa 2.4
Perform the row operation R1=R1+R2 to make the entry at 1,3 a 0.
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Etapa 2.4.1
Perform the row operation R1=R1+R2 to make the entry at 1,3 a 0.
[1+0-14+0-1+11001]
Etapa 2.4.2
Simplifique R1.
[1-140001]
[1-140001]
[1-140001]
Etapa 3
Use the result matrix to declare the final solution to the system of equations.
x-14y=0
0=1
Etapa 4
The system is inconsistent so there is no solution.
Nenhuma solução
-16x+4y=16,4x-y=0
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