How to transform a vector into a binary matrix with row constraint ?

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Safia
Safia 2022-9-6
评论： Safia 2022-9-6
Hi!
i have this vector v=[1,4,3,2], I want to transform it into a binary matrix under the following constraint: each row can contain only one '1'.
this is the required result
V=[1 0 0 0
0 1 0 0
0 1 0 0
0 1 0 0
0 1 0 0
0 0 1 0
0 0 1 0
0 0 1 0
0 0 0 1
0 0 0 1]
can anyone help me?

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采纳的回答

Dyuman Joshi
Dyuman Joshi 2022-9-6
Ran in:
From the apparent relation between v and the required matrix -
v=[1,4,3,2];
y=zeros(sum(v),numel(v));
z=1;
for i=1:numel(v)
y(z:v(i)+z-1,i)=1;
z=z+v(i);
end
y
y = 10×4
1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1

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