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1Row1y1d12Row22y1y2d2ory2d22y13Row33y12y2y3d3ory3d33y12y2MoregenerallytheforwardsubstitutionalgorithmforsolvingunitlowertriangularlinearsystemsLydlookslikeydfori2nyidiL

1.Row1:y1=d12.Row2:2y1+y2=d2 ory2=d22y13.Row3:3y1+2y2+y3=d3 ory3=d33y12y2Moregenerally theforwardsubstitutionalgorithmforsolvingunitlowertri-angularlinearsystemsLy=dlookslikey=d;fori=2:ny(i)=d(i)L

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