Replace the values of the matrix F F(2,3),F(2,4),F(3,3),F(3,4) of the ? matrix G = [4,4; 4,4
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A: by bartleby guidelines i am able to do only one question. pls post another question separately.
Q: Replace the values of the matrix F F(2,3),F(2,4),F(3,3),F(3,4) of the matrix * ? G = [4,4 ; 4,4]
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A: Below i have calculated first 3 PART.
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- Provide a time complexity analysis for this code #include<stdio.h> int main(){//Required matrices and variablesint matrix1[6][6];int matrix2[6][6];int matrix3[6][6]; int i,j,k,n,m,l;//Reads number from userprintf("Enter a number : ");scanf("%d", &n);//Value for diagonalm = 2*n;//Temperary variable of 'n'l = n;//Creates matrix 1for(i = 0; i< 6; i++){k = l;for(j = 0; j<6; j++){if(j == (6-i-1))matrix1[i][j] = m;else if(j > (6-i-1))matrix1[i][j] = (k++ + 1);else matrix1[i][j] = k--;}l--;}//Prints matrix 1 for(i = 0; i< 6; i++){ printf("[");for(j = 0; j<6; j++)printf("%c ", (char)matrix1[i][j]);printf("]\n");}printf("\n\n");//Creates matrix 2l = n;for(i = 0; i<6 ; i++)for(j = 0; j<6; j++){if(i < 3 && j < 3)matrix2[i][j] = l;else if(i < 3 && j >= 3)matrix2[i][j] = l + 1;else if(i >= 3 && j < 3)matrix2[i][j] = l + 2;else matrix2[i][j] = l + 3;} //Prints matrix 2 for(i = 0; i< 6; i++){ printf("[");for(j = 0; j<6;…Matrix 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…Consider the matrix multiplication C = AB. A matrix W is called a witness matrix with the following conditions: • If ci j = 0, then wi j = 0.• If ci j = 1, then wi j = k where aik = bkj = 1. make code to displays two Booelan matrices A and B and their productC. Note that we define these matrices with 0 and 1 entries and declare their typesas boolean with dtype = bool statement after specifying the entries. Alternatively,we could have specified theses matrices with True and False entries. The booleanproduct C is then converted to integer by the astype method and both forms of Care printed
- Array P = [40, 30, 25, 10, 35, 5, 20] Suppose the dimension of 6 matrices (A1, A2 … A6) are given by array P A1 is a P[0] x P[1] matrix A2 is a P[1] x P[2] matrix . . . A6 is a P[5] x P[6] a) Find the minimum number of scalar multiplications necessary to calculate the product of all the 6 matrices (A1.A2.A3.A4.A5.A6) and show the parenthesization for this multiplication. • Solve the problem manually (you need not to write any code) using bottom-up tabulation approach. Compute and show the ‘m’ matrix and ‘s’ matrix to solve your problem.Search a sorted matrix: The input consists of a real number x and a matrix A[1..n, 1..m] of nm real values, where A[i, 1..m] and A[1..n, j] are the rows and columns, respectively, of the matrix. The objective is to either state that all of the members of A are greater than x or to locate the largest array entry A[i, j] that is less than or equal to x. Create and evaluate an iterative approach for this issue that looks at the least amount of matrix entries feasible. If you think the issue can be resolved with a straightforward binary search, think twice.I am having trouble with a individual coding problem I am doing in python: Ar = int(input("How many rows does your matrix have? "))Ac = int(input("How many columns does your matrix have? ")) win = GraphWin('Matrix A', 300,300) win.setBackground('white') for p in range(Ac):y = 75 + 40*pfor q in range(Ac):x = 50 + 50*qinputText = Entry(Point(x,y), 3)inputText.setText('0')inputText.draw(win) ## The issue I having is that I want to be able to get the users inputs from their entries so that I can do matrix operations on them. However, anytime I try to append their entries at best I just get their last entry repeated (n)(m) times. I would be very thankful if you can show me how I can change my code so that I append all user entries correctly.
- 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.Pls Use Python Using NumPy, write the program that determines whether the A=({{1, 5, -2}, {1, 2, -1}, {3, 6, -3}}) matrix is nilpotent. Itro: Nilpotent Matrix: A square matrix A is called nilpotent matrix of order k provided it satisfies the relation, Ak = O and Ak-1≠O where k is a positive integer & O is a null matrix of order k and k is the order of the nilpotent matrix A . The following picture is an example of the intro: Ps: Please also explain step by step with " # "Generate random matrices of size n × n where n = 100, 200, . . . , 1000.Also generate a random b ∈ Rnfor each case. Each number must beof the form m.dddd (Example : 4.5444) which means it has 5 Significant digits in total. Perform Gaussian elimination with and withoutpartial pivoting for each n value (10 cases) above. Report the numberof additions, divisions and multiplications for each case in the form ofa table. No need of the code and the matrices / vectors. Deliverable(s): Two tabular columns indicating the number of additions, multiplications and divisions for each value of n, for with andwithout pivoting in Python
- /*** We will assume that `matrixA` and `matrixB` are valid 2D arrays of* `int`s. Each matrix is rectangular, with each row having the same number* of columns.** First, we need to make sure the matrices are compatible. Given `numRows X* numColumns` for each matrix `A` and `B`, if `A` is `m x n`, then `B` must* be `n x p`. That is the ``inner`` dimensions (lengths) must match.** If number of columns in `matrixA` does NOT equal the number of rows in* `matrixB`, then return `null`. That is, not output is created.** Assuming the dimensions are consistent, then we create a 2D output array* that is `m x p`, that is `numRowsA X numColumnsB`.** To calculate each element of the output matrix, we multiply the rows of* `A` by the columns of `B` and sum them up.** For example, let for integer values be given by lower case letters, let* `A` be a 2 x 3 matrix, and `B` a 3 x 3 matrix. The inner dimensions are* consistent, so we can multiply.** <pre>[a, b ,c]A = [d, e, f][p, q, r]B = |s, t, u|[v,…I do not understand this expression. so is c[i][j] += a[i][h] * b[h][j] mean c[i][j] = a[i][h] * b[h][j] + c[i][j]?? ; We do not know about the + matrix c right?Find a sorted matrix: The input is a real number x and a matrix A[1..n, 1..m] of nm real numbers, with each row A[i, 1..m] and column A[1..n, j] sorted. The objective is to locate the largest array entry A[i, j] that is less than or equal to x, or to report that all components of A are greater than x. Create and test an iterative method that analyses as few matrix elements as feasible. Be cautious if you assume a simple binary search would fix the problem. Find a sorted matrix: The input is a real number x and a matrix A[1..n, 1..m] of nm real numbers, with each row A[i, 1..m] and column A[1..n, j] sorted. The objective is to locate the largest array entry A[i, j] that is less than or equal to x, or to report that all components of A are greater than x. Create and test an iterative method that analyses as few matrix elements as feasible. Be cautious if you assume a simple binary search would fix the problem.