Matlab: creating a table of equations using multiple variables

[Samefiddle]

Homework Statement

I have an equation that looks like func=sin(pi*x*n)*sin(pi*y*m) I was wondering if there was any method (possibly involving for loops) where I could get a plottable function along xy for all the different combinations of n and m
i.e. m= 1 n =1
so the function would be
sin(pi*x*1)*sin(pi*y*1)
then m=1 n=2
sin(pi*x*1)*sin(pi*y*2)
and so on...
so basically it would create m*n equations

Homework Equations

The Attempt at a Solution

i tried something like
x=1:10;
y=1:10;
n=1:10;
m=1;10;
for i=1:length(x)
for ii=1:length(n)
for iii=1:length(y)
for iiii=1:length(m)
QQ(i)=sin(pi*x(i)*n(ii))*sin(pi*y(iii)*m(iiii))
end
end
end
end

but this i assume yields 10 values which correspond to when x y n m all equal the same values on the for loops. i.e. the first value is when x,y,n,m = 1 and the second value is when x,y,n,m = 2 etc.

 

[Valkarie]

what i want is a plotable function of x and y that changes based on the values of n and m, so basically QQ has to be m*n elements not just 10. I am new to Matlab so if anyone can help me I would really appreciate it.