Repeat Exercise 10 using Algorithm 6.3 in Maple with Digits:= 10. In Exercise 10 a. 58.9x 1

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Repeat Exercise 10 using Algorithm 6.3 in Maple with Digits:= 10.

In Exercise 10

a. 58.9x1 + 0.03x2 = 59.2, −6.10x1 + 5.31x2 = 47.0. Actual solution [1, 10]

b. 3.3330x1 + 15920x2 + 10.333x3 = 7953, 2.2220x1 + 16.710x2 + 9.6120x3 = 0.965, −1.5611x1 + 5.1792x2 − 1.6855x3 = 2.714. Actual solution [1, 0.5,−1].

c. 2.12x1 − 2.12x2 + 51.3x3 + 100x4 = π, 0.333x1 − 0.333x2 − 12.2x3 + 19.7x4 =√2, 6.19x1 + 8.20x2 − 1.00x3 − 2.01x4 = 0, −5.73x1 + 6.12x2 + x3 − x4 = −1. Actual solution [0.0998,−0.0683,−0.0363, 0.0465].

d. πx1 +√2x2 − x3 + x4 = 0, ex1 − x2 + x3 + 2x4 = 1, x1 + x2 −√3x3 + x4 = 2, −x1 − x2 + x3 −√5x4 = 3. Actual solution [1.35,−4.68,−4.03,−1.66].

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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