First, I generate a set of coefficients Ann in an nxn, where n may vary. I then want to solve for equations in the form:
A11 X1 + A12X2 + A13X3 + ... + A1NXN = 0
A21 X1^2 + A22X2^2 + A23X3^2 + ... + A2NXN^2 = 0
An1 X1^n + An2X2^n + An3X3^n + ... + AnnXn^n = 0
Does anyone know a good way to do this? LinearSolve is close, but can't seem to handle the exponents. I've tried using Solve in Table form, but it's giving me problems. Any help would be appreciated.