create a matrix of random 3-vectors that all have norm 1 in matlab

main.m
% Set the size of the matrix
matrix_size = 4;

% Create a matrix of random numbers
matrix = randn(3, matrix_size);

% Normalize each vector in the matrix
for i = 1:matrix_size
    matrix(:, i) = matrix(:, i) / norm(matrix(:, i));
end
234 chars
11 lines

Explanation:

• First, we set the desired size of the matrix to be created.
• We use the built-in randn function to create a matrix of random numbers with size 3 by matrix_size.
• Finally, we loop through each column of the matrix and normalize each vector. This ensures that each 3-vector has norm 1.