Generate matrices with non-zero submatrices

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Marsge
Marsge 2017-7-4
评论： Marsge 2017-7-4
Hi,
I would like to generate matrices with non-zero submatrices, which have form like
A1 = [1 1 0 ... 0 0
1 1 0 ... 0 0
0 0 0 ... 0 0
...
0 0 0 ... 0 0
0 0 0 ... 0 0]
A2 = [0 0 0 ... 0 0
0 1 1 ... 0 0
0 1 1 ... 0 0
...
0 0 0 ... 0 0
0 0 0 ... 0 0]
...
and
An = [0 0 0 ... 0 0
0 0 0 ... 0 0
0 0 0 ... 0 0
...
0 0 0 ... 1 1
0 0 0 ... 1 1]
How can I generate the matrix Ak by MATLAB command?

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Guillaume
Guillaume 2017-7-4
n = 10; %for example
A = arrayfun(@(k) blkdiag(zeros(k-1), ones(2), zeros(n-k)), 1:n, 'UniformOutput', false);
celldisp(A)
A{k} is the kth matrix.

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