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- (Program) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters, such as zerocount, onecount, twocount, and so forth, to 0. Then generate a large number of pseudorandom integers between 0 and 9. Each time 0 occurs, increment zerocount; when 1 occurs, increment onecount; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of time they occurred.Write a program that reads two integer matrices and performs multiplication. Also, print the output matrix. The size of the matrices are to be taken from the user.Write a program that prints an mxn matrix whose dimensions are specified by the user. Let the matrix values be random variables. You must use it within the repetition cycle. Example format: Enter dimension of matrix mxn: 2 4 The 2x4 matrix is : 1 2 3 4 5 6 7 8
- Given any n by n square matrix, write a program that reflects the matrix across its major diagonal. For example, 9,2,2, 1,9,2, becomes 1,1,9 9,1,1, 2,9,1, 2,2,9 Explain how you got your answer.Write a Python (or R) program that asks the user to enter an integer (X), then: Determines if X is prime or not • If X is not prime, compute and print the factors of that integer X • Evaluate and print the equation Y=8X²+ 1, for X values from -5 to 5 using the range function and for loopWrite a program that reads two matrices of integers. It then generates the sum and difference of the two matrices. The sum of the two matrices of the same size is a matrix with elements that are the sums of the corresponding elements of the two given matrices. Addition is not defined for matrices of different sizes. If A and B are matrices of the same size, then we define subtraction as follows: A – B = A + (-B). Thus, to subtract matrix B from matrix A, we simply subtract corresponding elements. Note: Use array function
- Using Python Write a program using functions to read a number N and print all its divisors.Example Input:N = 24Example Output:Divisors are: 1, 2, 3, 4, 6, 8, 12, 24USE PYTHON Given a square matrix, calculate the absolute difference between the sums of its diagonals. For example, the square matrix is shown below: 1 2 3 4 5 6 9 8 9 The left-to-right diagonal = 1+5+9=15. The right to left diagonal = 3+5+9 = 17 Their absolute difference is |15-17| = 2 Provide python code for the function DiagonalDifference(). It must return an integer representing the absolute diagonal difference. DiagonalDifference takes the following parameter: arr: a 2D array of integers.Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A
- Given a square matrix with the elements 0 or 1, write a program tofind a maximum square submatrix whose elements are all 1s. Your programshouldprompt the user to enter the number of rows in the matrix. The program then displaysthe location of the first element in the maximum square submatrix and thenumber of rows in the submatrix. Here is a sample run: Enter the number of rows in the matrix: 5 ↵EnterEnter the matrix row by row:1 0 1 0 1 ↵Enter1 1 1 0 1 ↵Enter1 0 1 1 1 ↵Enter1 0 1 1 1 ↵Enter1 0 1 1 1 ↵EnterThe maximum square submatrix is at (2, 2) with size 3 Your program should implement and use the following method to find the maximumsquare submatrix:public static int[] findLargestBlock(int[][] m)The return value is an array that consists of three values. The first two values arethe row and column indices for the first element in the submatrix, and the thirdvalue is the number of the rows in the submatrix.Write a program that reads two matrices of integers. It then generates the sum, difference and productof the two matrices.The sum of the two matrices of the same size is a matrix with elements that are the sums of thecorresponding elements of the two given matrices. Addition is not defined for matrices of different sizes.If A and B are matrices of the same size, then we define subtraction as follows: A – B = A + (-B). Thus, tosubtract matrix B from matrix A, we simply subtract corresponding elements.To multiply a matrix by another matrix we need to do the "dot product" of rows and columns. The "DotProduct" is where we multiply matching members, then sum up:(1, 2, 3) • (7, 9, 11) = 1×7 + 2×9 + 3×11 = 58We match the 1st members (1 and 7), multiply them, likewise for the 2nd members (2 and 9) and the3rd members (3 and 11), and finally sum them up.Write a program that reads two matrices of integers. It then generates the sum, difference and productof the two matrices.The sum of the two matrices of the same size is a matrix with elements that are the sums of thecorresponding elements of the two given matrices. Addition is not defined for matrices of different sizes.If A and B are matrices of the same size, then we define subtraction as follows: A – B = A + (-B). Thus, tosubtract matrix B from matrix A, we simply subtract corresponding elements.To multiply a matrix by another matrix we need to do the "dot product" of rows and columns. The "DotProduct" is where we multiply matching members, then sum up:(1, 2, 3) • (7, 9, 11) = 1×7 + 2×9 + 3×11 = 58We match the 1st members (1 and 7), multiply them, likewise for the 2nd members (2 and 9) and the3rd members (3 and 11), and finally sum them up.Use the following definitions:#define ROW 6#define COL 6void add (int matrixResult[] [COL], int matrixA[] [COL], int matrixB[][COL],int row, int…