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).