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Solve the linear system using Thomas' algorithm: - 3 x 1 + x 2 = 2 x 1 - 3 x 2 + x 3

Solve the linear system using Thomas' algorithm:

- 3 x_{1} + x_{2} = 2

x_{1} - 3 x_{2} + x_{3} = 2

x_{2} - 3 x_{3} + x_{4} = 2

cdotscdots

x_{15} - 3 x_{16} = 2

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