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- Find a square matrix P which can be used as a premultiplier of a 5-by-5 matrix A to effect the following changes in A: row 1 to row 2, row 2 to row 1, row 3 to row 4, row 4 to row 5, row 5 to row 3Find the solution to the following. The coefficient matrix is also defectiveThe reduced form R of a 3 by 3 matrix with randomly chosen entries is almost sure to be __ . What R is virtually certain if the random A is 4 by 3?
- In a small barangay, there were a farmer, a baker, and a grocer and has the input-output matrix D and external demandmatrix E shown below. Solve for the output matrix X in the equation X = DX + E.if only given a column vector function (2x1), f(B) = [e^(B1) - 1 ; e^(B2) - 1], then how do you find the asymptotic variance-covariance matrix estimator using the Delta method?A chi-square test for independence produces a chi-square statistic with df = 2. The data for this research study form a 2×2 matrix with four separate categories. a True b False
- If you take powers of a permutation matrix, why is some pk eventually equal to I? Find a 5 by 5 permutation P so that the smallest power to equal I is P6.Below is the answers to problem 1 and 2, please help with problem 3. Problem 1 Use the svd() function in MATLAB to compute , the rank-1 approximation of . Clearly state what is, rounded to 4 decimal places. Also, compute the root-mean square error (RMSE) between and . Solution: %code %Define matrix A A = [1, 2, 3; 3, 3, 4; 5, 6, 7]; %Compute SVD of A [U, S, V] = svd(A); %Rank-1 approx A1 = U(:,1) * S(1,1) * V(:,1)'; RMSE = sqrt(mean((A(:) - A1(:)).^2)); %Display A1 rounded to 4 decimal places disp(round(A1, 4)); 1.7039 2.0313 2.4935 2.7243 3.2477 3.9867 4.9087 5.8517 7.1832 %Display RMSE disp(RMSE); 0.3257 Problem 2 Use the svd() function in MATLAB to compute , the rank-2 approximation of . Clearly state what is, rounded to 4 decimal places. Also, compute the root-mean square error (RMSE) between and . Which approximation is better, or ? Explain. Solution: %code A = [2, 4, 7; 3, 3, 5; 1, 6, 6]; % Compute SVD of A [U, S, V] = svd(A); % Rank-2…Find the smallest integer k≥0 such that adding k to each entry of the given matrix produces a matrix with all positive payoffs. -4 -1 4 -5 k=________
- A chi-square test for independence has df = 3. What is the total number of categories (cells in the matrix) that were used to classify individuals in the sample? Group of answer choices 4 6 8 9Based on the matrix on the image below, what is the size of A, third column of A, second row of a, element in the (3,2)th position and a^tRefer to image below along with questions listed here a. Whats S = b. S^−1= c. Using part a and b, find the diagonal matrix D for which A= SDS^ -1 find what D =
