Find a solution to a system of equations represented by a n by n+1 matrix. For instance,
[ 2 0 4; => 2*x = 4 2 4 8 ] 2*x + 4*y = 8
Therefore, when given a=[2 0 4; 2 4 8] you should return a vector of solutions, v = [ 2 1 ]. Assume the system will always have a solution.
Consider using a small tolerance for the solution. My program coincides with your test cases up to 3e-16. That ought to be good enough, I think :)
My solution error was at 2.22e-16. Still not good enough, though.
Obviously round(A\b) is the alledgedly correct answer which is in general different from the numerical approximation of the solution.
I wonder whether this is intended?
Assumes the solutions are always integers. The tests would ideally use a tolerance in checking the solutions.
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