can anyone help me to construct this matrix ?

i have a such vector W,and i want to construct a matrix, in the attached file i have the form that i want to got, can anyone help me to do this ? thanks in advanced .

Answer 1

[Stephen23]

You could use toeplitz:

>> W = 0:2:8
W =
   0   2   4   6   8
>> N = numel(W);
>> S = (-1).^(0:N-1);
>> toeplitz([W(end),ones(1,N-1)],S.*W(end:-1:1))
ans =
   8  -6   4  -2   0
   1   8  -6   4  -2
   1   1   8  -6   4
   1   1   1   8  -6
   1   1   1   1   8