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               It can be implemented by many methods based on user requirements.Based on the fucntions,the list is given below. ‘randint()’ ‘random()’ or ‘uniform()’ ‘choice()’ ‘sample()’ ‘shuffle()’ ‘seed()’ ‘secrets.randbelow()’ ‘rand()’ Various types of Distrbutions 1. ‘randint()’:               This function is a built-in function of random package. It reads the number limit to generate random values. Code: # This code imports random package import random print("The random value is:") #prints the random integer value in the range 1 to 100. print(random.randint(1, 100))   Output: The random value is: 11 2.‘random()’ or ‘uniform()’:               This generates random float number. ‘random()’ gives a single float number. ‘uniform()’ gives you the float number within the r...

              Matrix multiplication can be done by multiplying each row with each column. It can be done when the rows of first matrix and column of second matrix should be equal. Let us implement the matrix multiplication as follows. This can be done by two ways. Using Numpy Using Lists Using Numpy:               This program uses Numpy functions dot(),@ to generate matrix multiplication. Code: import numpy as np1 # Define two matrices X = np1.array([[2, 3],               [4, 1]]) Y = np1.array([[8, 6],               [7, 5]]) # Matrix multiplication Z = np1.dot(X, Y)   # Method 1 A = X @ Y          # Method 2 (Python 3.5+) print("Matrix Multiplication Using np.dot:\n", Z) print("Matrix Multiplication Using @ operator:\n", A) Output: Matrix Multiplica...

              Transpose means changing column into rows and rows into columns. It can be implemented in python with or without Numpy. There are three methods to implement as follows. ·        Using Numpy ·        Using Zip ·        Manual Loops Using Numpy:               Numpy is predefined. It has many built-in functions. Pyhon code: import numpy as np1 # Step 1: create a 4X4 matrix X = np1.array([[1, 2, 3, 6],               [4, 5, 6, 10],               [7, 8, 9, 2],               [3, 6, 4, 8]]) # Step 2: Transpose the matrix X X_T = X.T print("The Original Matrix:\n", X) print("Here is the Transposed Matrix:\n", X_T) Output: The Original Matrix:  [[ 1...

             Identify Matrix has the rows and columns in equal manner. It has ones on the diagonal and zeros in other places. This can be done two different ways as follows… ·        Using Numpy ·        Using Plain Python Code 1.Using Numpy:               This method uses the ‘Numpy’ to create object and calling built-in functions. Implementation: ·        It uses Numpy built-in file and creates the object. It calls the ‘identity()’ function to build the identity matrix. ·        Finally,prints the identity matrix. Code: #Using Numpy import numpy as np1 # Create a 4x4 identity matrix I = np1.identity(4) print("Here is the Identity Matrix using Numpy:") print(I) Output: Here is the Identity Matrix using Numpy: [[1. 0. 0. 0.]  [0...

              Mathematical operations on array uses matrices. It uses Numpy to perform element-wise arithmetic, aggregate functions and linear algebra functions in effective ways. ·        This program starts with including numpy object. ·        Create two arrays for input purpose. ·        Next,element wise operations like Addition, Subtraction ,Multiplication and Division. ·        A scalar function is done by multiplying the array elements with 5. ·        Aggregate functions like sum, min, max and mean are done using built-in functions. ·        The advanced functions like square root and exponential are also done. Python Code: import numpy as np # Create arrays s_arr1 = np.array([1, 2, 3, 4]) s_arr2 = np.array([10, 20, 30, 40]) print("The origina...

               You have created an array. you want to reshape the array without altering data, this is method for you. Here, built-in method reshape() is used in Numpy. Let us do this for 1D and 2D array. Reshaping a 1D array into 2D array:               This code starts from importing numpy and its object. A single dimensional array is created with elements. The array is reshaped with 3 rows and 2 columns by the use of reshape() function. Original array and reshaped array is printed as output. Python Code: import numpy as np1 # Create a 1D array with elements s_arr = np1.array([11, 22, 33, 44, 55, 66]) # Let us Reshape into 3 rows and 2 columns reshaped_arr = s_arr.reshape(3, 2) print("Original array:", s_arr) print("Reshaped array:\n", reshaped_arr) Output: This is the output for the above program Original array: [11 22 33 44 55 66] Reshaped array:...