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Byju's Answer
Standard XII
Mathematics
Linear System of Equations
The following...
Question
The following system of linear equations
2
x
+
3
y
+
2
z
=
9
3
x
+
2
y
+
2
z
=
9
x
−
y
+
4
z
=
8
A
does not have any solution
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B
has an unique solution
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C
has a solution
(
α
,
β
,
γ
)
satisfying
α
+
β
2
+
γ
3
=
12
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D
has infinitely many solutions
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Solution
The correct option is
B
has an unique solution
Δ
=
∣
∣ ∣
∣
2
3
2
3
2
2
1
−
1
4
∣
∣ ∣
∣
=
−
20
≠
0
It has unique solution.
Suggest Corrections
0
Similar questions
Q.
If
A
=
⎡
⎢
⎣
2
−
3
5
3
2
−
4
1
1
−
2
⎤
⎥
⎦
, then find
A
−
1
.
Use it to solve the system of equations
2
x
−
3
y
+
5
z
=
11
3
x
+
2
y
−
4
z
=
−
5
x
+
y
−
2
z
=
−
3
Q.
If
A
=
⎡
⎢
⎣
2
−
3
5
3
2
−
4
1
1
−
2
⎤
⎥
⎦
,
find
A
−
1
.
Hence using
A
−
1
solve the system of equations
2
x
−
3
y
+
5
z
=
11
,
3
x
+
2
y
−
4
z
=
−
5
,
x
+
y
−
2
z
=
−
3.
Q.
Solve the system of equations
x
+
y
+
2
z
=
4
;
2
x
+
2
y
+
4
z
=
8
;
3
x
+
3
y
+
6
z
=
10
by using determinant
Q.
Solve the following system of linear equation by matrix method
x
−
y
+
2
z
=
1
2
y
−
3
z
=
1
3
x
−
2
y
+
4
z
=
2
Q.
If the system of linear equations
2
x
+
2
y
+
3
z
=
a
3
x
−
y
+
5
z
=
b
x
−
3
y
+
2
z
=
c
where
a
,
b
,
c
are non-zero real numbers, has more than one solution, then:
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