Please use the code below to generate a matrix with alternating signs.
% Define the size of the matrix
n = 5; % Example value, you can change this
sizeK = 2 * n;
% Initialize the matrix K with zeros
K = zeros(sizeK);
% Fill the main diagonal with alternating 2 and -2
for i = 1:sizeK
if mod(i, 2) == 1
K(i, i) = 2;
else
K(i, i) = -2;
end
end
% Fill the super-diagonal and sub-diagonal with alternating 1 and -1
for i = 1:sizeK-1
if mod(i, 2) == 1
K(i, i+1) = 1;
K(i+1, i) = 1;
else
K(i, i+1) = -1;
K(i+1, i) = -1;
end
end
% Display the matrix K
disp(K);
