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Q.

The system of equations x+4y−2z=3, 3x+y+5z=7and 2x+3y+z=5 has

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a

Infinite no. of solutions

b

Unique solution

c

Trivial solution

d

No solution

answer is D.

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Detailed Solution

Augmented Matrix =14-2331572315                             Apply R2→R2-3R1;R3→R3-2R1                             ~14-230-1111-20-55-1                               Apply R3→11R3-5R2                              ~14-230-1111-2000-1Thus, rank(A)=2 ; rank(AB)=3Thus, rank(A) ≠rank(AB) Thus, the system is inconsistent, no solution.
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