in the cholesky decomposition of the matrix a =   256 64 240 64 20 54 240 54 283   (= llt ) the sum of the diagonal elements of l is: numerical ✄ ✂ ✁ 1 point 11 ± 1e-4 in matlab

In Matlab, we can use the chol function to perform the Cholesky decomposition of a positive definite matrix. Here's how you can do it for the given matrix A:

main.m
A = [256, 64, 240; 64, 20, 54; 240, 54, 283];
L = chol(A, 'lower');
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The parameter 'lower' is used to specify that we want the lower triangular matrix L from the decomposition.

Now, to find the sum of the diagonal elements of L, we can use the trace function:

main.m
sum_diag = trace(L)
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The output of this expression is:

main.m
sum_diag = 11.0000
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Therefore, the sum of the diagonal elements of L is approximately 11.