The join of two zero-one matrices A and B is described as AAB [aij v biy] %3D AAB [aij A bi] AvB [aij v bi] AvB = [aij A bijl
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- okl ook sk ook ok o st s ook skl ok sk s ki sl ok sk ok sk s ok ks ok sk ok ook ok 01 (A) Create the following matrix K K= K = 0.25 0.5 0:75 1:0 125 15 1:75 2 4 6 8 10 12 14 25 30 35 40 45 50 55 And answer the following: (a) Create a matrix Ga such that its first row includes the elements of the second column of K followed by the elements of the fifth column of K, the second row of Ga include the first six elements of the second row of K, and the third row of Ga includes the last six elements of the third row of K. (b) Create a matrix Gb in which the first two rows and columns 3 through 6 of K.1. Youaregivenabunchofscientificcodethatcontainsloopsoftheform: for (i =0; i a[j][i] += b[j][i]; The matrices a and b are allocated using code such as: a = malloc (n* sizeof(*a)); for (i =0; i< n; i++) a[i]=malloc (n* sizeof(a[i])); While running the program, you notice that the addition loop trashes the TLB much more than it should. Explain why and provide a solution with justification for its efficiency. 2. What operating system challenges do devices like the Nook, Kindle and Ipad introduce? How are these challenges different from the requirements of traditional operating systems (i.e., OS running on traditional computers)?shows how to conduct a Fibonacci search. The number of data elements in this case, n, is such that: In the following statements, Fk+1 and Fk are two consecutive Fibonacci numbers, respectively: I Fk+1 > (n+1); and (ii) Fk + m = (n +1) for some m 0.
- What to input here to run properly? % Encode the Matrix A and the column vector b. A= b= % Solve for Determinant of A. Set as dA. dA = % Find the Inverse of A. set as iA. iA = % Form the Reduced Row Echelon of A. Set as rA. rA= %Find the number of rows and number of columns of Ab. set as rowA and colA. % Find the sum of the columns of A. Set as SumA. %In each of the columns of A, find the highest values and its indices.Set as highA and locA. %Augment A with b; Set as Ab. % Find b\A. Set as Root1. %Form the Reduced Row Echelon Form of Ab. Set as refAb. %Extract the last column of refAb.Set as Root2. %Create a matrix A whose elements are the same as matrix A, but the first column is the column vector b. Set as Ax. %Create a matrix A whose elements are the same as matrix A, but the second column is the column vector b. Set as Ay. %Create a matrix A whose elements are the same as matrix A, but the third column is the column vector b. Set as Az. %Create…Implement the Tic-Tac-Toe game in C++ using functions and 2D array of 3X3 size. Rules of the Gamea) The game is to be played between computer and user.b) One of the players chooses ‘O’ and the other ‘X’ to mark their respective cells.c) The game starts with one of the players and the game ends when one of the players has onewhole row/ column/ diagonal filled with his/her respective character (‘O’ or ‘X’).d) If no one wins, then the game is said to be draw. Note:No pointers should be used.The program should be simple and easy.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
- Repeat all activity from 2.3.4. Provide similar array manipulations using the months of the year. var days = ['Sunday', 'Monday', 'Tuesday']; console.log(days[0]); console.log(days[2]); days[3] = 'Wednesday'; console.log(days.toString()); days[6] = 'Saturday'; console.log(days.toString()); var theDayOff = days.slice(6) console.log(theDayOff.toString()); console.log(days.toString()); console.log(days.toString()); days.splice(4, 2, "Thursday", "Friday"); console.log(days.toString()); console.log(days.toString()); days.push('theExtraDay') console.log(days.toString()); let extras = days.pop(); console.log(days.toString()); console.log(extras); days.sort(); console.log(days.toString());Which of the following is a false statement if arbitrary matrices A, B, and C for which the indicated sums and products are defined? Note: A^T = Transpose of A a.) AB + AC = A(B + C) b.) If A is an n x n matrix, then (A^2)^T = (A^T)^2 c.) A^T + B^T = (A + B)^T d.) (ABC)^T = (C^T)(A^T)(B^T)Implement the Tic-Tac-Toe game in C++ using functions and 2D array of 3X3 size. Rules of the Game a) The game is to be played between computer and user.b) One of the players chooses ‘O’ and the other ‘X’ to mark their respective cells.c) The game starts with one of the players and the game ends when one of the players has onewhole row/ column/ diagonal filled with his/her respective character (‘O’ or ‘X’).d) If no one wins, then the game is said to be draw.
- 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;…4. Write a complete Java program to find the inverse of a 2×2 matrix.Write a code to create a QR decomposition of the matrix A by utilizing the code developed in the previous sub-parts of this question. Find the matrices Q and R and then display the value ∥A − (Q.R)∥F , where ∥ · ∥F is the Frobenius norm. The code should also display the total number of additions, multiplications and divisions to find the result. Deliverable(s) : The code with the said input and output. The results obtained for A generated with m = 7 and n = 5 with random entries described above.