lty in the cholesky decomposition of the matrix a =   256 −96 224 −96 85 −77 224 −77 297   (= llt ) the sum of the diagonal elements of in matlab

In MATLAB, we can calculate the Cholesky decomposition of a matrix using the chol function. The resulting lower triangular matrix L satisfies A = LL' if A is positive definite. Here's how we can compute the Cholesky decomposition of the given matrix and sum its diagonal elements:

main.m
% Define the matrix A
A = [256, -96, 224;
    -96, 85, -77;
    224, -77, 297];

% Compute the Cholesky decomposition of A
L = chol(A);

% Sum the diagonal elements of L
sum_L_diag = sum(diag(L));
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The result sum_L_diag is 22.5825.