The system of equations 2x+y−z=7 ,x−3y+2z=1 ,x+4y−3z=5 is

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Consistant

Inconsistant

Unique solutions

None

answer is B.

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Detailed Solution

[AB]=21−11−3214−3 715~21−10−7507−5 7−53 2R2−R12R3−R1 ~21−10−75000 7−5−2 R3+R2 Rank (A) = 2, Rank of (AB) =3Inconsistant

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