Given 2 vectors X,Y both of length N, How do I act on every single term in X with every single term in Y into a N by N matrix?

Just to make myself clear, assuming X = [1 2 3], Y = [1 2 3] and that I want to act with 'exp'

I want to create a matrix Z = [exp(1+1) exp(1+2) exp(1+3) ; exp(2+10 exp(2+2) exp(2+3) ; exp(3+1) exp(3+2) exp(3+3)]

I know I can run a simple for loop, but How do I make it simple using matlab matrix/vectors notation? Thanks

Answer 1

[Stephen23]

>> X = [1,2,3]; Y = [1,2,3];
>> exp(bsxfun(@plus,X.',Y))
ans =
     7.3891    20.0855    54.5982
    20.0855    54.5982   148.4132
    54.5982   148.4132   403.4288

Or

>> [Xm,Ym] = ndgrid(X,Y);
>> exp(Xm+Ym)
ans =
     7.3891    20.0855    54.5982
    20.0855    54.5982   148.4132
    54.5982   148.4132   403.4288

Answer 2

[Torsten]

Z=exp(X).'*exp(Y)

Best wishes

Torsten.