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...ut it seems to me that this should be a straight-forward process in R. For the purposes of this enquiry I thought I would use something I can work out on my own. So I have my matrix and the right hand results from that matrix tdata <- matrix(c(0,1,0,-1,-1,2,0,0,-5,-6,0,0,3,-5,-6,1,-1,-1,0,0),byrow = T,ncol = 5) sumtd <- c(0,0,0,-2) > tdata [,1] [,2] [,3] [,4] [,5] [1,] 0 1 0 -1 -1 [2,] 2 0 0 -5 -6 [3,] 0 0 3 -5 -6 [4,] 1 -1 -1 0 0 > sumtd [1] 0 0 0 -2 > which I can calculate to give me 3x+30, x+12, 2x+20, 12x, x Wo...