Question

Answer questions (4) through (7) for the ndarray below: a = np.array([[9,-2,4). [8,-3,0) [10,3,-7). [0,-9,-411) (4) What is the result of a[:,113]? (a) np.array([[9,-2). [8,-3). [10,3]. [0,-9]])) (b) np.array([[8, -3,0). [10,3,-711) (c) np.array([8.-3,0). [10,3,-7]) (d) np. array([(-2,4).(-3,0). [3,-7).(-9,-411) (5) What is the result of a [2: 2:]? (a) np.array([0-7]. (-4))) (c) np.array([-7).(-4)) (b) np.array([-4]) (d) np. array([[3,-7).(-9,-411) (6) What is the result of a [2,2]+ a[1,2]? (a) np. array((-7,0]) (c)-5 (b) -7 (d) np.array([-2,-3]) (7) What is the result of a[a[1,-1],0] (a) 8 (c) 9 (b)-2 (d) -3 (8) True or False: The Incremental Search Method generally requires fewer iterations than the Newton-Raphson Method because the derivative does not need to be computed. (9) True or False. The magnitude and sign of the derivative approximated from the forward and backward finite difference approximations can be different. (10) True or False: The Cramer's Rule is a more computationally efficient method to determine the unknowns of a large linear algebraic system than the Gauss Elimination Method.

Answer 1

Executed in code and attached for better understanding. Please have a look at attached outputs

In [2]: import numpy as np a = np.array([[9,-2,4), [8,-3,0), [10,3,-7), [0,-9,-4]]) In [3]: print(a) [[ 9 -2 4] [ 8 -3 0] [10 3 -7] [ 0-9 -4]] In [5]: # Answer for Question - 4 a[:,1:3] #a[:,1:3] means that accessing the elements in every row from column 1 to 2 #comma before part indicates for rows and after comma indicates columns print(a[:,1:3]) print("Answer - OPTION - (d)") [[-2 4] [-30] [ 3-7] [-9 -4]] Answer - OPTION - (d) In [8]: # Answer for Question - 5 a[2:,2:] #a[2:,2:] starting from second row and traversing to last row by accessing # elements from column 2 to end print(a[2:,2:]) print("Answer - OPTION - (a)") [[-7] [-4]] Answer - OPTION - (a)

In [8]: # Answer for Question - 5 a[2:,2:] #a[2:,2:] starting from second row and traversing to last row by accessing # elements from column 2 to end print(a[2:, 2:]) print("Answer - OPTION - (a)") [(-7] (-41) Answer - OPTION - (a) In [10]: # Answer for Question - 6 a[2, 2] + a[1,2] print(a[2,2]+a[1,2]) print("Answer - OPTION (b)") -7 Answer - OPTION (b) In [12]: # Answer for Question - 7 a[2,2] + a[1,2] print( a[ a[1,-1], 0)) print("Answer OPTION (C)") Answer OPTION (C) In [ ]:

Question-8 : True

Question-9: True

Question-10: False