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Question
Mathematics
Consider the system of linear equations; x1 + 2x2 + x3 = 3 2x1 + 3x2 + x3 = 3 3x1 + 5x2 + 2x3 = 1 The system has
Q. Consider the system of linear equations;
x
1
+
2
x
2
+
x
3
=
3
2
x
1
+
3
x
2
+
x
3
=
3
3
x
1
+
5
x
2
+
2
x
3
=
1
The system has
5109
217
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AIEEE 2010
Determinants
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A
exactly 3 solutions
21%
B
a unique solution
34%
C
no solution
32%
D
infinite number of solutions
13%
Solution:
D
=
∣
∣
1
2
3
2
3
5
1
1
2
∣
∣
=
0
D
1
=
∣
∣
3
3
1
2
3
5
1
1
2
∣
∣
=
0
⇒
Given system, does not have any solution.
⇒
No solution