Solved: Modify the LDLt Factorization Algorithm as suggested in the text so that it can

Chapter 6, Problem 7

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Modify the LDLt Factorization Algorithm as suggested in the text so that it can be used to solve linear systems. Use the modified algorithm to solve the following linear systems. a. 2x1 x2 = 3, x1 + 2x2 x3 = 3, x2 + 2x3 = 1. b. 4x1 + x2 + x3 + x4 = 0.65, x1 + 3x2 x3 + x4 = 0.05, x1 x2 + 2x3 = 0, x1 + x2 + 2x4 = 0.5. c. 4x1 + x2 x3 = 7, x1 + 3x2 x3 = 8, x1 x2 + 5x3 + 2x4 = 4, 2x3 + 4x4 = 6. d. 6x1 + 2x2 + x3 x4 = 0, 2x1 + 4x2 + x3 = 7, x1 + x2 + 4x3 x4 = 1, x1 x3 + 3x4 = 2.

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