Solved: Use Gaussian elimination with backward substitution and two-digit rounding

Chapter 6, Problem 6.1.3

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Use Gaussian elimination with backward substitution and two-digit rounding arithmetic to solve the following linear systems. Do not reorder the equations. (The exact solution to each system is x1 = 1, x2 = 1, x3 = 3.) a. 4x1 x2 + x3 = 8, 2x1 + 5x2 + 2x3 = 3, x1 + 2x2 + 4x3 = 11. b. 4x1 + x2 + 2x3 = 9, 2x1 + 4x2 x3 = 5, x1 + x2 3x3 = 9.

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