This problem concerns the Newton’s method iteration in Example 1.
(a) Use initial vector x0 = (−1, 1) and calculate the successive approximations x1, x2, x3, etc. To what solution of the system of equations (7) do the approximations converge?
(b) Repeat part (a) with x0 = (1,−1). Repeat again with x0 = (−1,−1). (c) Comment on the results of parts (a) and (b) and whether you might have predicted them. Describe the results in terms of Figure 2.76.
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