Consider the following 3D function: f(x, x, x3) = 4x + 2xx + 3x + x...

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Consider the following 3D function: f(x₁, x₂, x3) = 4x² + 2x₁x₂ + 3x² + x₁ x3 + 2x² + 5x₁ +3 Find the stationary point x that satisfies Vf(x) = 0. Requirements: a) Derive the equations that satisfy Vf = 0, rewrite the equations in the matrix-vector product format, and report the equations on papers (50%) b) Write Matlab codes to solve the above equations using the Gauss-Seidel method. Use x = (1,1,1) as the initial guess and perform 10 Gauss-Seidel iterations. Report the final solution x* at the 10th iteration and the initial and final residual norms on papers. Upload your Matlab code to Canvas. (50%) Consider the following 3D function: f(x₁, x₂, x3) = 4x² + 2x₁x₂ + 3x² + x₁ x3 + 2x² + 5x₁ +3 Find the stationary point x that satisfies Vf(x) = 0. Requirements: a) Derive the equations that satisfy Vf = 0, rewrite the equations in the matrix-vector product format, and report the equations on papers (50%) b) Write Matlab codes to solve the above equations using the Gauss-Seidel method. Use x = (1,1,1) as the initial guess and perform 10 Gauss-Seidel iterations. Report the final solution x* at the 10th iteration and the initial and final residual norms on papers. Upload your Matlab code to Canvas. (50%)

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SAN Solution Given the 3D function is Now of 2 4x2... View the full answer