Matemática discreta Exemplos

Encontre a Forma Escalonada por Linhas [[1,-2,0,0],[1,1,1,260],[55000,30000,90000,13000000]]
[1-20011126055000300009000013000000]
Etapa 1
Perform the row operation R2=R2-R1 to make the entry at 2,1 a 0.
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Etapa 1.1
Perform the row operation R2=R2-R1 to make the entry at 2,1 a 0.
[1-2001-11+21-0260-055000300009000013000000]
Etapa 1.2
Simplifique R2.
[1-20003126055000300009000013000000]
[1-20003126055000300009000013000000]
Etapa 2
Perform the row operation R3=R3-55000R1 to make the entry at 3,1 a 0.
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Etapa 2.1
Perform the row operation R3=R3-55000R1 to make the entry at 3,1 a 0.
[1-20003126055000-55000130000-55000-290000-55000013000000-550000]
Etapa 2.2
Simplifique R3.
[1-20003126001400009000013000000]
[1-20003126001400009000013000000]
Etapa 3
Multiply each element of R2 by 13 to make the entry at 2,2 a 1.
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Etapa 3.1
Multiply each element of R2 by 13 to make the entry at 2,2 a 1.
[1-200033313260301400009000013000000]
Etapa 3.2
Simplifique R2.
[1-2000113260301400009000013000000]
[1-2000113260301400009000013000000]
Etapa 4
Perform the row operation R3=R3-140000R2 to make the entry at 3,2 a 0.
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Etapa 4.1
Perform the row operation R3=R3-140000R2 to make the entry at 3,2 a 0.
[1-200011326030-1400000140000-140000190000-140000(13)13000000-140000(2603)]
Etapa 4.2
Simplifique R3.
[1-2000113260300130000326000003]
[1-2000113260300130000326000003]
Etapa 5
Multiply each element of R3 by 3130000 to make the entry at 3,3 a 1.
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Etapa 5.1
Multiply each element of R3 by 3130000 to make the entry at 3,3 a 1.
[1-20001132603313000003130000031300001300003313000026000003]
Etapa 5.2
Simplifique R3.
[1-2000113260300120]
[1-2000113260300120]
Etapa 6
Perform the row operation R2=R2-13R3 to make the entry at 2,3 a 0.
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Etapa 6.1
Perform the row operation R2=R2-13R3 to make the entry at 2,3 a 0.
[1-2000-1301-13013-1312603-132000120]
Etapa 6.2
Simplifique R2.
[1-2000108000120]
[1-2000108000120]
Etapa 7
Perform the row operation R1=R1+2R2 to make the entry at 1,2 a 0.
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Etapa 7.1
Perform the row operation R1=R1+2R2 to make the entry at 1,2 a 0.
[1+20-2+210+200+2800108000120]
Etapa 7.2
Simplifique R1.
[1001600108000120]
[1001600108000120]
[1-20011126055000300009000013000000]
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