Perform only two steps of the conjugate gradient method with C = C1 = I on each of the
Chapter 7, Problem 7.5.5(choose chapter or problem)
Perform only two steps of the conjugate gradient method with C = C1 = I on each of the following linear systems. Compare the results in parts (b) and (c) to those obtained in Exercises 1, 3, and 9 of Section 7.3. a. 3x1 x2 + x3 = 1, x1 + 6x2 + 2x3 = 0, x1 + 2x2 + 7x3 = 4. b. 10x1 x2 = 9, x1 + 10x2 2x3 = 7, 2x2 + 10x3 = 6. c. 10x1 + 5x2 = 6, 5x1 + 10x2 4x3 = 25, 4x2 + 8x3 x4 = 11, x3 + 5x4 = 11. d. 4x1 + x2 x3 + x4 = 2, x1 + 4x2 x3 x4 = 1, x1 x2 + 5x3 + x4 = 0, x1 x2 + x3 + 3x4 = 1. e. 4x1 + x2 + x3 + x5 = 6, x1 + 3x2 + x3 + x4 = 6, x1 + x2 + 5x3 x4 x5 = 6, x2 x3 + 4x4 = 6, x1 x3 + + 4x5 = 6. f. 4x1 x2 x4 = 0, x1 + 4x2 x3 x5 = 5, x2 + 4x3 x6 = 0, x1 + 4x4 x5 = 6, x2 x4 + 4x5 x6 = 2, x3 x5 + 4x6 = 6.
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