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The system of equations x+4y2z=33x+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

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detailed solution

Correct option is D

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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