The nonlinear system 4X

Chapter 10, Problem 6

(choose chapter or problem)

The nonlinear system 4X| X2 +X3 = X1X4, X| + 3X2 2X3 = X2X4, X| 2x2 + 3x3 = -*3-^4. Xf +x| + x| = 1, has six solutions. a. Show that if (xi, X2, X3, X4)' is a solution, then (Xi, X2, X3, X4)' is a solution. b. Use Broyden's method three timesto approximate each solution. Iterate until ||x(i) x ( * _l) | lO"5

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