# How to make a function output a matrix

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Petch Anuwutthinawin on 17 Jun 2021
Answered: SALAH ALRABEEI on 17 Jun 2021
I am trying to make a function that takes in multiple variables and outputs a matrix of values. The inputs are supposed to plug into the equation V, and output a matrix. My problem is that this outputs a vector instead of a matrix. How do I make it output a matrix?
function T = prob3_5(x,y,N,L,W,T1,T2)
V=zeros(1,length(x));
for n=1:2:N
for i=1:length(x)
V(i)=V(i)+(2/pi)*(2/n)*sin(n*pi*x(i)/L).*sinh(n*pi*y(i)/L)/sinh(n*pi*W/L);
end
T=(T2-T1)*V+T1;
end
Petch Anuwutthinawin on 17 Jun 2021
the answer should have the same number of columns as elements in X, and the same number of rows as elements in Y.

SALAH ALRABEEI on 17 Jun 2021
I think you need only one loop that accomulate the series. I am assuming x and y are sent to the function as vectors, then we creat grid out of them
T = prob3_5(x,y,N,L,W,T1,T2)
[x,y]=meshgrid(x,y);
V=zeros(size(x));
for n=1:2:N
V=V+(2/pi)*(2/n)*sin(n*pi*x/L).*sinh(n*pi*y/L)./sinh(n*pi*W/L);
T=(T2-T1)*V+T1;
end