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.