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The system of equations x+4y2z=3, 3x+y+5z=7, 2x+3y+z=5 has

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a
Infinite number of solutions
b
Unique solution
c
Trivial solution
d
No solution

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detailed solution

Correct option is D

Augmented matrix =132     4−23157315    apply:R2→R2−3R1R3→R3−2R1                                        ~100     4−23−1111−2−55−1     apply:R3→11R3−5R1                                        ~100    4−23−1111−2001∵rankA=2, rankAB=3⇒rankA≠rankAB∴The system is inconsistent, hence no solution.


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