Matrix

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By Gauss-Jordan method ,show that following system has no soloution.

x+2y-3z=-13,x-y+2z=7,x+3y-4z=2

A={{1,2,-3,-1},{3,-1 ,2,7},{5,3,-4,2}}//MatrixForm



RowReduce[{{1,2,-3,-1},{3,-1 ,2,7},{5,3,-4,2}}]//MatrixForm
From the equation, we can write,1x+1/7z=0,1y-11/7z=0,0=1;
So,we can say that This equation has no solution. 
Thank You😊




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