skew symmetric matrix in matlab

To create a skew-symmetric matrix in MATLAB, we need to create a square matrix A. The elements in A should satisfy the condition that Aij = -Aji for all i,j. This means that the diagonal elements of A must be zero, and the elements above the diagonal must be the negation of the corresponding elements below the diagonal.

Here is an example code that creates a 4x4 skew-symmetric matrix:

main.m
% create a 4x4 skew-symmetric matrix
A = [0, 2, -1, 3; 
    -2, 0, -4, 1; 
     1, 4, 0, -5; 
    -3, -1, 5, 0];

% verify that A is skew-symmetric
if isequal(A, -A')
    disp('A is skew-symmetric')
else
    disp('A is not skew-symmetric')
end
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In this code, we first define the elements of A such that it satisfies the skew-symmetric condition. We then use the isequal() function to compare A with its negation, transposed. If the two matrices are equal, then A is skew-symmetric. The output of this example code should be: A is skew-symmetric.

You can adjust the size and elements of matrix A to suit your specific application.