Suppose you want to perform two sums: one is a sum of 10 scalar variables, and one is a matrix sum of a pair of two-dimensional arrays, with dimensions 10 by 10. What speed-up do you get with 10 versus 100 processors? Next, cal- culate the speed-ups assuming the matrices grow to 100 by 100.
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- Write a MPI program in C to multiply two n-by-n matrices using p processors with 1 <= p <= 8. Fill up the matrices with some constant values so that it would be easier for you to verify the resulting matrix for correctness. You may use collective operations or send/receive primitives.implement parallel matrix multiplicationC = A×B by row partitioningmatrix A and sending each process its partition and the whole of matrix B. Eachprocess performs its own multiplication and sends the partial product to the masterprocess which collects all results and then prints the product matrix C, we have 4processes including the master process. The output matrix C displayed is the product of matrices A and B.use python to code.Implementing matrix addition is pretty simple; see the program below. However, the given addition function matrix_add_double() does not run at full speed. On the instructors computer, which has 16GB of RAM, the program below shows that the call to matrix_add_double takes 38571 ms, while another, better implementation achieves the same result in 3794.7ms, which is 10.2 times faster! Your job for this exercise is: • to explain what in the Operating System and/or CPU and/or other part of the system makes the implementation below go so slowly. • to fix the code to achieve full speed. Hint: There are two reasons why the code runs slowly. The one reason is related to how virtual addresses get translated to physical addresses, the other reasons is related to another effect in the hardware. Only the performance for the matrix_add_double function() counts for your exam results. You can leave the other parts of the code untouched, but you may also change them.…
- Write a JAVA program to add two matrix using pointers. JAVA program to input two matrix from user and find sum of both matrices using dynamic array.Example InputInput matrix1: 123456789Input matrix2: 987654321 OutputSum of both matrices:10 10 1010 10 1010 10 10Write a C program that reads the values of two 2x2 arrays from the user. The program should fork a child process. Have your main process compute and display the sum of the two matrices, while the child process computes and displays the product of the two matrices. Ensure that the child process displays the product matrix before the main process displays the sum matrix.The method to compress an image in image processing is using convolution matrix where the number of outputs is reduced by replacing the matrix multiplication with much smaller kernel matrix. This is illustrated on the figure below. In this example a black and white photograph is scanned as a rectangular array of pixels and then stored as image matrix on the left by assigning each pixel a numerical value in accordance with its gray level, (0 = white to 255 = black), then the entries in the matrix are integers between O and 255.Then multiplication is employed with much smaller kernel matrix in the middle. 0|0 21 00 o 106 85 71 1 250 231 127 63 1 250 252 250 209 56 1 250 252 250 250 83 Kernel 0 0 0 Feature map Image Boxes in red and blue frames indicate how the upper left element is formed by applying the kernel to the corresponding upper left region of the input matrix. The elements of much smaller "feature map" matrix on the right can be calculated from: 3.
- Write a code segment to add two matrices A and B, and store the results in matrix C. C = A+B, that is C[i][j] A[i][j] + B[i][j] The dimensions of both A and B are MxN. Both M and N are defined as constant (final) positive integers, and data types of both matrices are double as shown in the following code segment. double [] [] A = double [][] B = new double [M] [N]; new double [M] [N]; V/ code initialize both A and B /* insert your code here (you need to both define C and perform the sum that populates the values of C) */ ...Write a Scala program to find minimum subarray sum of specified size in a given array of integers. Example: Input: nums = { 1, 2, 3, 4, 5, 6, 7, 8, 9,10} Output: Sub-array size: 4 Sub-array from 0 to 3 and sum is: 10Sparse matrix-vector multiplication in Python is similar to numpy.dot operation, however the provided @ operator is used. Let us consider multiplying a 5 by 5 sparse matrix with a 5 by 3 sparse matrix shown below. 01000 00010 10001 10000 01000 100 001 x 000 010 100 The Python code to implement multiplication of these two sparse matrices
- Given a set of matrix arithmetic below, kindly examine the matrix with an executable C codes to show ALL outputs. User need to key in data for "x", "y", and "?" area, x is refers single alphabet data, y is refers to decimal data, ?' is refer to integer. The use of loop (e.g. "for" loop) and subscript in array is a MUST (e.g. x[i]/]). [А В С] [x]DE F+ [y]? ? ? = ſoutputs] lG H [? ? ?] I ? ? ?]Suppose that two matrices A and B with dimension n x n are stored on a 2D mesh of n2 processors such that P_(i,j) holds A[I,j] and B[j,i] . Write C-style pseudocode for an asynchronous algorithm that computes the product of A and B in O(n) time. (10 points) (WRITE THE PSEUDOCODE! IF YOU DON'T WRITE PSEUDOCODE, YOU WILL BE WRONG!! C-STYLE ONLY!!!)write a c++ program for the following Take a Boolean 2D array of 10X 10, where each row is sorted from the user, Find the row with themaximum number of 1s.Example:Input matrix0 1 1 10 0 1 11 1 1 1 // this row has maximum 1s0 0 0 0Output: 2