MATLAB: Mirror pattern of the leading diagonal about the middle element of the matrix

matrix

Hi All,
I am interested to create the following matrix but unable to think about the logic to create it.
for example : for n = 5 ; the elememts of leading diagonal are 2 1 0 1 2 and rest elements 0
for n = 7, the elements of the leading diagonal are 3 2 1 0 1 2 3 and rest elements are 0.
Any help will be highly appreciated.

Best Answer

This works for odd ‘n’: 
dv = @(n) abs(diag(unique(fix(-n/2:n/2))));                     % Create Diagonal Matrix
n = 5;
m5 = dv(n)
n = 7;
m7 = dv(n)
producing: 
m5 =
     2     0     0     0     0
     0     1     0     0     0
     0     0     0     0     0
     0     0     0     1     0
     0     0     0     0     2
m7 =
     3     0     0     0     0     0     0
     0     2     0     0     0     0     0
     0     0     1     0     0     0     0
     0     0     0     0     0     0     0
     0     0     0     0     1     0     0
     0     0     0     0     0     2     0
     0     0     0     0     0     0     3
.
Related Question