Python HW

#5,6,7

Problem 5. (10 pts) Choose your own a and b, then plot the functions y=x + ax + b y = ax + b y=al.c + b in one figure with the same range for r. Make sure that they have different colors, line styles and markers so that they can be distinguished. Set line width to be 3, add legends, title and labels for x and y axes. Hint: use matplotlib.pyplot package. Problem 6. (15 pts) Consider the following matrices and vector: 10 25 1 8 157 [2 6 23 4 71 20 5 7 14 16 14 15 9 15 23 A= 4 6 13 20 22.B = 12 14 21 29 8 ,2 = 10 12 19 21 3 23 20 20 11 16 (11 18 25 29 24 22 5 18 21 Use numpy package to calculate (a) A+B (b) AB (c) AT (d) A-1 (e) A (f) rank(A), rank(B) Problem 7. (10 pts) Use numpy package to solve a system of linear equa- tions: 3x1 + 2x2 + 6.63 = 26 2.C1 - 3.02 + 5x3 = 18 5x1 + O2 + 4.13 = 11