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The Rove reduad materix,{:[[[1,0,0,0,3,2,1],[0,1,0,0,-2,3,0],[0,0,1,0,4,-5,3],[0,0,0,1,1,0,-2]]],[" Variables "x_(1)","x_(2)","x_(3)","x_(4)","x_(5)","x_(6)]:}The system of Equation becomes:{:[x_(1)+3x_(5)+2x_(6)=1],[x_(2)-2x_(5)+3x_(6)=0],[x_(3)+4x_(5)-5x_(6)=3],[x_(4)+4x_(5)=-2],[[[x_(1)],[x_(2)],[x_(3)],[x_(4)],[x_(5)],[x_(6)]]=[[x_(2)=2x_(5)-3x_(6)],[x_(3)=3-4x_(5)+5x_ ... See the full answer