how to make the numbers on the matrix with alternative sign?

I want to create a matrix that the main diagonal of K are alternatively 2 and -2’s, the sub- and sup-diagonal of K alternatively 1 and -1’s, and everywhere else 0. The size of K is 2n by 2n.

Here is what I got so far.

x=ones(1,5);
y=ones(1,4);
x2=2*x;
y2=y*-1;
z=diag(x2,0)
[rows, columns] = size(z)
z(1:2*rows+2:end) = -z(1:2*rows+2:end)
b=diag(y2,+1)
d=diag(y2,-1)
g=z+b+d

Answer 1

[praguna manvi]

Hi @kingsley,

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);

     2     1     0     0     0     0     0     0     0     0
     1    -2    -1     0     0     0     0     0     0     0
     0    -1     2     1     0     0     0     0     0     0
     0     0     1    -2    -1     0     0     0     0     0
     0     0     0    -1     2     1     0     0     0     0
     0     0     0     0     1    -2    -1     0     0     0
     0     0     0     0     0    -1     2     1     0     0
     0     0     0     0     0     0     1    -2    -1     0
     0     0     0     0     0     0     0    -1     2     1
     0     0     0     0     0     0     0     0     1    -2

Answer 2

[Stephen23]

n = 5;
m = toeplitz([2,1,zeros(1,2*n-2)]) .* -(-1).^gallery('minij',2*n)

m = 10x10

2 1 0 0 0 0 0 0 0 0 1 -2 -1 0 0 0 0 0 0 0 0 -1 2 1 0 0 0 0 0 0 0 0 1 -2 -1 0 0 0 0 0 0 0 0 -1 2 1 0 0 0 0 0 0 0 0 1 -2 -1 0 0 0 0 0 0 0 0 -1 2 1 0 0 0 0 0 0 0 0 1 -2 -1 0 0 0 0 0 0 0 0 -1 2 1 0 0 0 0 0 0 0 0 1 -2

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