1. Solve the linear system {

0.211x1 + 0.811x2 = 1.52

1.71x1 − 1.06x2 = −0.512

using 3-digit chopping arithmetic and Gaussian elimination with partial pivoting.

2. The equation f (x) = 2 − x2 sin x = 0 has a solution in the interval [−1, 2].
(a) Verify that the Bisection method can be applied to the function f (x)
on [−1, 2].
(b) Using the error formula for the Bisection method find the number
of iterations needed for accuracy 0.000001. Do not do the Bisection
calculation.
(c) Compute p3 for the Bisection method.

Answer rating: 100% (QA)

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