Creating a Matrix from a given Vector.

2 views (last 30 days)
Carlos Martínez
Carlos Martínez on 22 May 2016
Edited: Andrei Bobrov on 23 May 2016
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]

Answers (2)

Ahmet Cecen
Ahmet Cecen on 22 May 2016
Check "diag" function.

Andrei Bobrov
Andrei Bobrov on 22 May 2016
Edited: Andrei Bobrov on 23 May 2016
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);
  4 Comments
Andrei Bobrov
Andrei Bobrov on 23 May 2016
Corrected. Work for any vectors.

Sign in to comment.

Categories

Find more on Operating on Diagonal Matrices in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by