mat = RandomInteger[{-19,10},{8,8}]

imat = Inverse[mat];

ranvec := RandomReal[{0,1},{8}]

ranvec

ranveclist = Table[ranvec,{10}]

Norm[{x,y}]

normlist = Table[Norm[ranveclist[[i]]],{i,1,Length[ranveclist]}]

normlist[[2]]

normlist//Short

Histogram[normlist,PlotRange-> {{0,2.5},{0,50}}]