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Q.

The equationsx+y+z=6 ,2x−y+z=3 ,x+2y−z=2 have

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a

No solution

b

Unique solution

c

Infinitely solutions

d

None

answer is B.

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Detailed Solution

[AB]=11162-11312-12~11160-3-1-901-1-4 R2−2R1R3−R1 ~11160-3-1-900-7-21 3R3+R2 ⇒ Rank (A)= Rank(AB) = 3⇒ unique solution

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