Shift and duplicate values in a data set

I have a data set of M=magic(4)

M =

16 2 3 13

5 11 10 8

9 7 6 12

4 14 15 1

How can I have it so that you duplicate the data multiple times but also shift the whole thing one row to the right each time so that it would look like:

16 2 3 13

5 11 10 8

9 7 6 12

4 14 15 1

0 16 2 3

0 5 11 10

0 9 7 6

0 4 14 15

0 0 16 2

0 0 5 11

0 0 9 7

0 0 4 14

Answer 1

[Paul]

Couple of options

M = magic(4);
Z = zeros(12,4);
for ii = 1:3
    Z(4*(ii-1)+1:4*(ii-1)+4,:) = [zeros(4,ii-1) M(:,1:end-ii+1)];
end
Z

Z = 12×4

16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 0 16 2 3 0 5 11 10 0 9 7 6 0 4 14 15 0 0 16 2 0 0 5 11

C{1} = M;
for ii = 2:3
    C{ii} = [zeros(4,ii-1) M(:,1:end-ii+1)];
end
Z = vertcat(C{:})

Z = 12×4

16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 0 16 2 3 0 5 11 10 0 9 7 6 0 4 14 15 0 0 16 2 0 0 5 11

Z = cellfun(@(M,ii) [zeros(4,ii-1) M(:,1:end-ii+1)],repmat({M},1,3),num2cell(1:3),'uni',false);
Z = vertcat(Z{:})

Z = 12×4

16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 0 16 2 3 0 5 11 10 0 9 7 6 0 4 14 15 0 0 16 2 0 0 5 11

[Daniel]

Brilliant Paul thanks!!