writing a matrix without loop

Dear all I want to write a matrix that its arrays are dependent on i and j, could I write it without writing loops. my arrays are something like it a(i,j)=sin(2*pi*(i-1))/((sin(2*pi*(i-1))+sin(2*pi*(j-1))))). Thanks

Answer 1

[Image Analyst]

Use meshgrid:

m = 0:20;
n = 0:4;
[x y] = meshgrid(m, n);
 a = sin(2*pi*y) ./ ((sin(2*pi*y) + sin(2*pi*x)))
imagesc(a);
set(gca, 'ydir', 'reverse');

[ss]

Image Analyst thanks for your useful response, but what should we do if a(i,j)=x(j)*(i-1) that x is a vector? thank you again

[Image Analyst]

x = randi(9, [8 1]) % Random, sample data.
iMinus1 = 0:11
a = x * iMinus1

[ss]

thanks for your fast and useful response

Answer 2

[Laura Proctor]

Yes, you can create this matrix without using a loop. Use array based mathematical expressions such as ./ and .*

a = sin(2*pi*(ii-1))./(sin(2*pi*(ii-1))+sin(2*pi*(jj-1)));