algorithm. Make your calculations for three iterations and calculate the approximate error at each step. The initial estimates for the unknowns are given as 1, 2 and 5 for a1, a2 and a3, respectively. 25a1+5a2+a3=106.8 64a1+8a2+a3=177.2 144a1+12a2+a3=279.2

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Chapter2: Second-order Linear Odes
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Solve the set of linear equations given below using the Gauss-Seidel algorithm. Make your calculations for three iterations and calculate the approximate error at each step. The initial estimates for the unknowns are given as 1, 2 and 5 for a1, a2 and a3, respectively.

25a1+5a2+a3=106.8

64a1+8a2+a3=177.2

144a1+12a2+a3=279.2

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