1) Determine all solutions to 180x ≡ 120 mod 240.

Svar: Det f¨ oljer fr˚ an en Prop som s¨ ager att om funktionen f (t + x)e −int ¨ ar 2π periodisk, vilket det ¨ ar, sedan blir varje integral mellan tv˚ a punkter som st˚ ar p˚

(a) (2p) Describe the pattern of nonzero entries in the basis matrix used to determine the coefficients for polynomial interpolation using each of the three bases.. (b) (2p) Rank

(b) All previous computations can still be used when new data points are added in the following type of polynomial representations:..

These points will be added to those obtained in your two home assignments, and the final grade is based on your total score.. Justify all your answers and write down all

the initial guess is not close enough to the exact solution Solution: the largest eigenvalue of the iteration matrix has absolute value equal to 1.. If this information is

(c) If 100 iteration steps were needed by the Gauss-Seidel method to compute the solution with the required accuracy, how do the num- ber of operations required by Gaussian

(c) If 100 iteration steps were needed by the Gauss-Seidel method to compute the solution with the required accuracy, how do the num- ber of operations required by Gaussian

Each problem is worth 3 points. To receive full points, a solution needs to be complete. What is the