Matemática discreta Exemplos

Resolva Usando uma Matriz Aumentada x+y=4 , x-y=2
x+y=4x+y=4 , x-y=2
Etapa 1
Write the system as a matrix.
[1141-12]
Etapa 2
Encontre a forma escalonada reduzida por linhas.
Toque para ver mais passagens...
Etapa 2.1
Perform the row operation R2=R2-R1 to make the entry at 2,1 a 0.
Toque para ver mais passagens...
Etapa 2.1.1
Perform the row operation R2=R2-R1 to make the entry at 2,1 a 0.
[1141-1-1-12-4]
Etapa 2.1.2
Simplifique R2.
[1140-2-2]
[1140-2-2]
Etapa 2.2
Multiply each element of R2 by -12 to make the entry at 2,2 a 1.
Toque para ver mais passagens...
Etapa 2.2.1
Multiply each element of R2 by -12 to make the entry at 2,2 a 1.
[114-120-12-2-12-2]
Etapa 2.2.2
Simplifique R2.
[114011]
[114011]
Etapa 2.3
Perform the row operation R1=R1-R2 to make the entry at 1,2 a 0.
Toque para ver mais passagens...
Etapa 2.3.1
Perform the row operation R1=R1-R2 to make the entry at 1,2 a 0.
[1-01-14-1011]
Etapa 2.3.2
Simplifique R1.
[103011]
[103011]
[103011]
Etapa 3
Use the result matrix to declare the final solution to the system of equations.
x=3
y=1
Etapa 4
The solution is the set of ordered pairs that make the system true.
(3,1)
(
(
)
)
|
|
[
[
]
]
7
7
8
8
9
9
4
4
5
5
6
6
/
/
^
^
×
×
>
>
α
α
µ
µ
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
σ
σ
!
!
,
,
0
0
.
.
%
%
=
=
 [x2  12  π  xdx ]