Creating a Matrix from a given Vector.

Hello, I want to make a matrix with the next features, given a vector, the columns of the matrix must be: In the first column, the vector and the other elements of the column zero, then for the next column, 0 followed by the vector and then the others elements zeros, and so on, on the last column, the final elements of it must ve the vector, here is an example:

h=[1, -0.5]

The matrix must be:

[1 , 0 , 0; -0.5, 1 , 0; 0 , -0.5, 1; 0 ,0 , -0.5]

Answer 1

[Ahmet Cecen]

Check "diag" function.

Answer 2

[Andrei Bobrov]

h=[1, -0.5];
m = 3; % m - number of columns in out - matrix

out = full(spdiags(ones(m,1)*fliplr(h(:)'),[-1 0],m + numel(h) - 1,m));

or

out = toeplitz([h(:);zeros(m-1,1)],[h(1);zeros(m-1,1)]);

or

n = numel(h);
m1 = m + n - 1;
out = zeros(m1,m);
out(bsxfun(@plus,(1:n)',(0:m-1)*(m1+1))) = 1;
out(out>0) = h(:)*ones(1,m);

[Carlos Martínez]

The answer is a 4*4 matrix but should be a 4*3 matrix.

[Andrei Bobrov]

Where is 4*4 in answer?

[Carlos Martínez]

Sorry, I didn't realize you edited, but, ¿for a 1xn vector?

[Andrei Bobrov]

Corrected. Work for any vectors.