Given the equations 10x 1 + 2x 2 x 3 = 27 3x 1

Question:

Given the equations
10x1 + 2x2 − x3 = 27
− 3x1 − 5x+ 2x3 = −61.5
x1 + x2 + 6x3 = −21.5
(a) Solve by naive Gauss elimination. Show all steps of the computation.
(b) Substitute your results into the original equations to check your answers.

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