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- Scalar Multiplication• Write a multiplication function that accepts one 2D numpy array andone scalar (an int or float), and returns the scalar product (whereevery entry in the array is multiplied by the scalar). solve in pythonPython numpy library functions to perform basic matrix operations are as follows.• C=numpy.add(A, B): Add two matrices A and B and store result in C.• C=numpy.subtract(A, B): Subtract matrix B from matrix A and store result in C.• C=numpy.divide(A, B): Divide matrix A by matrix B and store result in C.• C=numpy.multiply(A, B): Multiply matrix A by matrix B and store result in C.• C=numpy.sum(A): Form the sum of elements of matrix A and store result in c ∈ R.• C=numpy.sum(A, axis = 0): Form the column wise summation of matrix A andstore result in vector C.• C=numpy.sum(A, axis = 1): Form the row wise summation of matrix A, storeresult in vector C.Python code to show the implementation of these methods in a sample matrix.Material Java/ C++/C- language Personal Computer. Instructions: A. Matrix Addition C. Matrix Transpose 1. The transpose of an m x n matrix A is n x m matrix AT. 2. Formed by interchanging rows into columns and vice versa. 3. (A¹)kj = Ajk 4. Let m input to enter the number of rows in the Matrix. 5. Let n input to enter the number of columns in the Matrix. 6. Display the transpose matrix 7. Save the file TRANSPM Questions: 1. What do you mean by an array? 2. Differentiate between for loop and while loop. 3. Define transpose of matrix? What will be the order of the matrix AT, if the order of the matrix A is 4 x 4.
- Task using C language One common way of verifying if the data integrity of a file was preserved during a copy or transmission is to verify if the checksum matches. The checksum is a small piece of data computed from the original data. Your task is to compute a recursive function that maps an integer into a single digit to be used as checksum. Given an input integer in the range from 0 to 1012, the checksum is the sum of the digits of the input number. While the resulting sum has multiple digits, the checksum will be the sum of its digits instead. For instance: if the input is 34, the checksum is 7 (3+4); if the input is 99, the sum of its digits is 18 (9+9), so the checksum is 9 (1+8); if the input is 99999999999, the sum of its digits is 99 (9+9+9+9+9+9+9+9+9+9+9), whose sum of digits is 18 (9+9), so the checksum is 9 (1+8). Requirements Follow the format of the examples below. Make sure your variables and parameters have the correct data types. You must implement a recursive…Part1 (Numpy) : Write a Python program as Jupyter Notebook to accomplish the following tasks: Create a random Matrix of 10x10 using numpy.random.rand function, and store this Matrix into Variable name W1. Create a random Matrix of 10x1 using numpy.random.rand function, and store this vector into Variable name b1. Create a random Matrix of 10x10 using numpy.random.rand function, and store this Matrix into Variable name W2. Create a random vector of 10x1 using numpy.random.rand function, and store this vector into Variable name b2. Perform matrix multiplication: output =W1 × b1 using for loops to iterate through the column and rows. Do not use any built-in NumPy functions. Perform matrix multiplication: output =W1 × b1 using built-in NumPy function numpy.dot. Repeat step 5 and step 6 for W2, and b2. Part2 (Matplotlib and Numpy) : Write a Python program as Jupyter Notebook to accomplish the following tasks: Use linspace function in numpy to create 400 points from (-4π) to (4π) , and…Complete this code using Python m1 = [] #Matrix 1m2 = [] #Matrix 2#Write a function that will return the addition of Matrix A and B.#Create a new matrix C that will hold the addtion result of Matrix A and B (A+B).#Return the resultant matrix Cdef addMatrix(A,B):#Write your code here#Write a function that will return the subtraction of Matrix B from A.#Create a new matrix C that will hold the substraction result of Matrix B from A (A-B).#Return the resultant matrix Cdef subsMatrix(A,B):#Write your code here#Write a function that will return the multiplication of Matrix A and B.#Create a new matrix C that will hold the multiplication result of Matrix A and B (A*B).#Keep in mind,in order to perform matrix multiplication, the number of columns in Matrix A must be equal to the number of columns in Matrix B. #Return the resultant matrix Cdef multipyMatrix(A,B):#Write your code here#Write a function that will transform matrix A to the transpose of matrix A.#The transpose of a matrix means…
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- C language for solution Note: soution this program Use Array 1. Write a program to do the following: a. Write a Cover Page function to print the HW details passing the needed parameters and has no return. b. Write a function that gets student grades and ID (maximum number of students is 20) then the function has a switch statement to enable the user to choose one of the following operation: i. Call MaxMin function to find and print the maximum and minimum grades as well as their ID ii. Call function Average to return the average grade of the class. iii. Call mark function to print students ID, their grades, and marks (as in the below table) iv. Call Sort function to sort the student ascending or descending based on their grades. The program will repeat the operation tile the user wish to terminate the program. Note: Student's grades are between 0 and 100 (use data validation technique). • You will get zero if you don't use comments and print HW details (your name, course name, course…C++ program The Lo Shu Magic Square is a grid with three rows and three columns that has the following properties: • The grid contains the numbers 1 through 9 exactly.• The sum of each row, each column, and each diagonal all add up to the same number. This is shown in Figure 1: Figure 1: Lo Shu Magic SquareWrite a Boolean function isMagicSquare that accepts a two-dimenstional 3 × 3 array as an argument and returns true if it determines it is a Lo Shu Magic Square and false if it is not.Use C Language Pascal’s Triangle Version 2 The Pascal triangle can be used to compute the coefficients of the terms in the expansion (a + b)n. For example, (a + b)2 = a2 + 2ab + b2 where 1, 2, and 1 are coefficients. Write a C program that creates a two-dimensional matrix a representing the Pascal triangle of size n. For example, a Pascal triangle of size 10 is shown below: