Assume that an upper triangular matrix A [0... 99, 0 ..99] is stored in a linear array C of size 5050 with row major order. If A[0, 0] is stored in C[0], find the index of C where A[70, 90] is stored in it.
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- or the given array, simulate the working operation of Insertion Sort. Show your work at each step in c++. Make sure to show the status of the array after every insertion.[ 28, 13, 22, 7, 34, 2, 15, 18 ]Can someone help in cpp for this figure write a function that finds the sum of the elements that are filled in gray in the Figure, the matrix is entered in a global two-dimensional array double a [MAXM] [MAXN], and the number of rows and columns and is in the variable n of type int, eg: double a [7] [7] = {3,1,1,1,1,1,4, 2,3,1,1,1,1,1, 2,2,3,1,1,1,1, 2,2,2,8,1,1,1, 2,2,2,2,3,1,1, 2,2,2,2,2,3,1, 2,2,2,2,2,2,3,};Can you help me with this programIn C++ For the matrix shown in the Figure, write a function that finds the sum of the elements that are filled in gray in the Figure, the matrix is entered in a global two-dimensional array double a [MAXM] [MAXN], and the number of rows and columns is in variable n of type int, eg: double a[7][7]= { 3,1,1,1,1,1,4, 2,3,1,1,1,1,1, 2,2,3,1,1,1,1, 2,2,2,8,1,1,1, 2,2,2,2,3,1,1, 2,2,2,2,2,3,1, 2,2,2,2,2,2,3,};
- Computer Science Given an N x N matrix M with binary entries i.e every entry is either 1 or 0. You are told that every row and every column is sorted in increasing order. You are required to output a pair (i,j) with 1 <= i and j <= n corresponding to the entry of the matrix satisfying Mij = 1 and Mrs = 0 for all 1 <= r <= i and 1 <= s <= j except for Mij Informally this includes the entry of M = 1 and is closest to the top left corner. for example: M = [ 0 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1] output is (2,3) or (1,4) M = [ 0 1 1 1 1 1 1 1 1] output could be (1,2) or (2,1) Design a divide and conquer algorithm, explain correctness and runtime of the algorithm.Write a report in which you discuss and compare your Gauss elimination and Gauss-Jordan programs. Gauss elimination #include<stdio.h> int main ( ) { int i, j, k, n; float A[20] [20], c, x [10], sum=0.0; printf("\Enter the order of matrix: "); Sacnf("%d,&n); prinf("\n Enter the elements of augmented matrix row-wise: \n\n"); for(i =1; i<=n; i++) { for(j=1; j<(n+1); j++) { printf("A[%d][%d] : ", i, j); scanf("%f", [i][j]); } } for(j=1; j<n; j++) { for(i=1; j<n; i++) { if(i>j) { c=A[i][j]/A[j][j]; for(k=1; k<=n+!; k++) { A[i][k] = A[i][k]-c*A[j][k]; } } } } x[n]= A[n] [n+1]/A[n][n]; for(i=n-1; i>=1; i--) { sum=0;…When dealing with large dense symmetric matrix it is recommended that to either store upper right or lower left entries only to avoid redundancy and thereby saving a lot of space (particularly when the matrix elements are of double type or any other user-defined datatype). Let us assume that we have decided to store only the upper right entries of a matrix inside a 1D array in the row-major arrangement. 1. Design an algorithm for accepting a symmetric matrix from the user and printing the same matrix. 2. Design an algorithm for multiplying a given symmetric matrix stored in a 1D array with a compatible vector.
- Consider the code C: C = {000000, 001011, 010101, 011110,100110, 101101, 110011, 111000} Explain why the vectors in thie coset 100001 + C form the vectors in the last row of any standard array for C.Can someone help me with the following C++ problem please? An array "matrix" with N lines and M columns and I have to rotate the middle square 90 degrees to the left. The lines and the columns of the matrix has to start form 1. Restrictions 1 ≤ n, m ≤ 50 1 ≤ mt[i][j] ≤ 3 000 1 ≤ i ≤ n, 1 ≤ j ≤ m 1 ≤ i + l - 1 ≤ n 1 ≤ j + l - 1 ≤ m EX: Input 4 41 2 3 45 6 7 89 10 11 1213 14 15 162 2 2 Output: 1 2 3 45 7 11 89 6 10 1213 14 15 16Matrix multiplication plays an important role in a number of applications. Two matrices can only be multiplied if the number of columns of the fi rst matrix is equal to the number of rows in the second.Let’s assume we have an m × n matrix A and we want to multiply it by an n × p matrix B. We can express their product as an m × p matrix denoted by AB (or A ⋅ B). If we assign C = AB, and ci,j denotes the entry in C at position (i, j), then for each element i and j with 1 ≤ i ≤ m and 1 ≤ j ≤ p. Now we want to see if we can parallelize the computation of C. Assume that matrices are laid out in memory sequentially as follows: a1,1, a2,1, a3,1, a4,1, ..., etc.Assume that we are going to compute C on both a single core shared memory machine and a 4-core shared-memory machine. Compute the speedup we would expect to obtain on the 4-core machine, ignoring any memory issues.Repeat above Exercise, assuming that updates to C incur a cache miss due to false sharing when consecutive elements are in a…
- 20. Given a 4-element array with distinct elements, say {x1, x2, x3, x4}, it is known that x1 is not the minimum. How to use 2 comparisons to find an element that is neither the maximum nor the minimum? Solution:23( The matrix below is stored in the Row-Major order in the linear memory, so in what order are the numbers stored. a. 8, 4, 3, 7, 9, -8, 5, 6, -2. b. 8, 6, -8, 7, 3, 4, -5, 9, -2. c. 8, -5, 7, 4, 6, 9, 3, -2 , -8. d. 8, 4, 3, -5, 6, -2, 7, 9, -8.Recall that the volume of a right circular cylinder with height h and radius ris given byV = πr2h.Use array multiplication to construct a table with three columns: The firstcolumn should contain ten radii from 1 to 10 (inclusive), the second columnwith ten heights from 1 to 10 (inclusive), and the third column should containthe volumes of the corresponding cylinders with the given radius and height.