User Portlet User Portlet

Discussions
Given a set of linear equations, say 2 A[2] + 3 A[3] == 4 5 A[1] + 7 A[2] == 6 How do I program Mathematica to get the matrix {{0,2,3},{5,7,0}} and the vector {4,6} ? Thank you!
I have made some simple linear interpolation functions: nM = 7; xi = Table[2 (j - 1)/(nM - 1), {j, nM}];\[CurlyPhi][1] = Interpolation[{{xi[[1]], 1}, {xi[[2]], 0}, {xi[[nM]], 0}}, InterpolationOrder -> 1]; \[CurlyPhi][2] = ...