(Solved): The given vectors form a basis for \( R^{n} \). Apply the Gram-Schmidt orthonormalization process ...

The given vectors form a basis for \( R^{n} \). Apply the Gram-Schmidt orthonormalization process to obtain an orthogonal basis. Use the vectors in the order in which they are given. \[ B=\{(4,3),(0,1)\} \] \[ \mathrm{v}_{1}=\mathrm{x}_{1}= \] \[ \mathbf{v}_{2}=\mathbf{x}_{2}-\left(\frac{\mathbf{v}_{1} \cdot \mathrm{x}_{2}}{\mathbf{v}_{1} \cdot \mathbf{v}_{1}}\right) \mathbf{v}_{1}= \] Normalize the basis \( x_{1}, x_{2} \) to obtain an orthonormal basis. \[ \mathbf{u}_{1}= \] \[ \mathbf{u}_{2}= \]