Question: The given vectors form a basis for a subspace W of \({{R}^{4}}\). Apply Gram-Schmidt process to obtain an orthogonal basis of W.

\[{{x}_{1}}=\left[ \begin{matrix} 2 \\ -1 \\ 1 \\ 2 \\ \end{matrix} \right],\,\,\,{{x}_{2}}=\left[ \begin{matrix} 3 \\ -1 \\ 0 \\ 4 \\ \end{matrix} \right]\]