MATLAB: How to use X&Y Arrays in a formula to get and Array answer

Question

I have a formula L with variables X and Y. X and Y are arrays with eleven numbers in each. I want an array of 121 numbers (11*11) for my answer. But I am only getting eleven answers. (X1,Y1)(X2,Y2)(X3,Y3)……etc. What I want is: (X1,Y1)(X1,Y2)(X1,Y3)……

(X2,Y1)(X2,Y2)(X2,Y3)…..etc

Arrays:

x=[15:1:25];

y=[12:1:22];

Formula:

L= sqrt(((x-15).^2)+((y-25).^2))+sqrt(((x-10).^2)+((y-5).^2))+sqrt(((x-40).^2)+((y-10).^2))

Answer:

46.6822 46.2284 45.9273 45.8076 45.9019 46.2441 46.8645 47.7832 49.0065 50.5256 52.3212

How do I set up the arrays X and Y to give me an array answer??

Please help

Answer 1

Use ndgrid to generate the full array of combinations. You could also do it with implicit expansion, but that makes it harder to understand.