Matrix operation without for loop

I have a (n,m) matrix T and a (n,1) vector a. I want to divide all the elements of n-th row with the n-th element of the column. Since I want to vectorize the process, I have tried the following

i = (1:n)';

out(i,:) =  T(i,:)./a(i);

could it work or am I missing something? The indexing here do work when no component-wise operation is performed.

Answer 1

[dpb]

>> T=ones(3);
>> a=1:3;a=a(:);
>> out=bsxfun(@rdivide,T,a)
out =
  1.0000    1.0000    1.0000
  0.5000    0.5000    0.5000
  0.3333    0.3333    0.3333
>>

[Sudipta Ray]

Many thanks dpb, it worked!