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# Consider the system of linear equations :

Question:

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

1. Infinite number of solutions

2. Exactly 3 solutions

3. A unique solution

4. No solution

Correct Option: 4,

Solution: