Adapt the Gauss$-$Seidel algorithm to allow for the relaxation parameter $,$ and develop the numerical

algorithm of the SOR method. Use the SOR method to iteratively solve for problem $1,$ with an initial guess of

$x^0=0.$ Choose $=0\mathrm{.}5,1$ and $1\mathrm{.}5,$ how many iterations does it take for the SOR method to converge with an

error of ${10}^{-10}?$

Problem $1$ attached: