Q.

Consider the system of  linear equations:   x1+2x2+x3=3,2x1+3x2+x3=3 , 3x1+5x2+2x3=1. The system has

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a

a unique solution

b

no solution

c

infinite number of solution

d

exactly two solutions

answer is B.

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Detailed Solution

The system of linear equations arex1+2x2+x3=3……..(1)2x1+3x2+x3=3……..(2)3x1+5x2+2x3=1………(3) Add (1) and (2) equations ⇒3x1+5x2+2x3=6……(4) Subtraet (4) from (3)⇒0=5So the given system linear equation has no solution.Therefore, the correct answer is (2).
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