generating matrices from another matrix

x = [1,0,0,1,0,1]

x = 1×6

1 0 0 1 0 1

d = diag(x)

d = 6×6

1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1

I want to generate matrices from the matrix d so that it gives me the shares below;

Share 1:

1 1 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 1 0 0

0 0 0 0 0 0

0 0 0 0 0 1

Share 2:

1 0 1 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 1 0 0

0 0 0 0 0 0

0 0 0 0 0 1

Share 3:

1 0 0 1 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 1 0 0

0 0 0 0 0 0

0 0 0 0 0 1

etc.

But I don't know how to do it. Can somebody help me ?

Answer 1

[David Hill]

x = [1,0,0,1,0,1];
d = diag(x);
s(:,:,1)=d;
for k=2:10
  t=d;t(k)=1;
  s(:,:,k)=t';
end
s

s = 
s(:,:,1) =

     1     0     0     0     0     0
     0     0     0     0     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1


s(:,:,2) =

     1     1     0     0     0     0
     0     0     0     0     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1


s(:,:,3) =

     1     0     1     0     0     0
     0     0     0     0     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1


s(:,:,4) =

     1     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1


s(:,:,5) =

     1     0     0     0     1     0
     0     0     0     0     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1


s(:,:,6) =

     1     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     0
     0     0     0     0     0     1


s(:,:,7) =

     1     0     0     0     0     0
     1     0     0     0     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1


s(:,:,8) =

     1     0     0     0     0     0
     0     1     0     0     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1


s(:,:,9) =

     1     0     0     0     0     0
     0     0     1     0     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1


s(:,:,10) =

     1     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     1     0     0
     0     0     0     0     0     0
     0     0     0     0     0     1

Answer 2

[Jan]

x = [1,0,0,1,0,1];
d = diag(x);

Share1       = d;
Share1(1, 2) = 1;

Share2       = d;
Share2(1, 3) = 1;

Share3       = d;
Share3(1, 4) = 1;

Or with a loop:

x = [1,0,0,1,0,1];
d = diag(x);
Share = repmat(d, 1, 1, 4);
for k = 1:3
    Share(1, k+1, k) = 1;
end

Now Share(:, :, 2) is e.g. Share2 from the first method. Remember that hiding indices in the names of variables is a bad design.