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

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?

[dpb]

How did you invent the required result from the input?

[Safia]

I haven't got it yet, I just want the result in this form.

Answer 1

[Dyuman Joshi]

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

[Safia]

thank you very much!