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The following system of equations x-y+z=2 3x-y+2z=-6 3x+y+z=-18 has

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Solution:   The system of equations can be written as

                  AX=B,  where   A=eginbmatrix 1 &-1 &1 \ 3 & -1 &2 \ 3 &1 &1 endbmatrix,   X=eginbmatrix x\y \z endbmatrix

        and    B=eginbmatrix 2\-6 \18 endbmatrix.     Here  ,    left | A 
ight |=0 and (adj A)B=0

     The given system is consistent and has infinitely many solution.

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Deependra Verma

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