How to simplify matrix expression

I have following matrix expression:

y_ = zeros(5000,10);
y_(1:500,10) = 1;
y_(501:1000,1) = 1;
y_(1001:1500,2) = 1;
y_(1501:2000,3) = 1;
y_(2001:2500,4) = 1;
y_(2501:3000,5) = 1;
y_(3001:3500,6) = 1;
y_(3501:4000,7) = 1;
y_(4001:4500,8) = 1;
y_(4501:5000,9) = 1;
y = y_;

How do I simplify this code under 2 or 3 lines? At the end I just want to have a matrix Y containing 5000x10 elements.

[John D'Errico]

Learn to use sparse.

[cniv_we]

I think loop is enough. I tried this:

y = zeros(5000,10);
y(1:500,10) = 1;
j = 500;
for i=1:9
    j = 500;
    y(i*j+1:(i+1)*j,i) = 1;
    y
end

Any more elegent way?

Answer 1

[John D'Errico]

Will one line suffice?

y = sparse((1:5000)',reshape(repmat([10,1:9]',1,500)',[5000,1]),1,5000,10);

[cniv_we]

That's great! Thanks.