Givens is this system of equation: $$+2x + 5y = -8$$ $$-2x - 5y = 8$$
- Whether the system has a unique solutions
- Whether Newton's Method converges after only one iteration
Well, for the first question: the system has of course infinitely many solutions because the system of equations is linearly dependent. I'm a bit unsure for the second question however. If there are infinitely many solutions, wouldn't Newton's Method in fact never converge ?
Any help/ hint would be greatly appreciated. Thanks for your help !