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If 3x+2y+z= 0, x+4y+z=0, 2x+y+4z=0, be a system of equations then
(A) the system is inconsistent
(B) it has the only trivial solution
(C) it can be reduced to a single equation thus solution does not exist
(D) a determinant of the coefficient matrix is zero.

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B...rank =3 then (3-3=0) equation has unique solution...

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