My answer here to another question on arrays explains why you don't want to use arrays.
As I say in that answer you can't assign an array like you're trying:
float g[100];
g = foo(); // illegal, assigning to arrays is not allowed
Another of the weird restrictions on arrays is that you're not allowed to return them from functions:
float foo()[100]; // illegal, returning an array from a function is not allowed
Also note that when you declare a function like float arr_sub(float a[100][100])
you might think you're passing an array by value, but in fact that invokes another of the weird exceptions made for arrays. In C and C++, whenever you declare a formal parameter of a function to be an array, the type is adjusted from 'array' to 'pointer to the array's element type'.
Since arrays don't behave like they ought, you should instead use std::array or std::vector:
std::array<float,100> foo(); // works
std::array<float,100> g;
g = foo(); // works
To do multi-dimentional arrays you can use:
std::array<std::array<float,100>,100> g;
Though that's a bit cumbersome so you can typedef it:
typedef std::array<std::array<float,100>,100> Matrix;
Matrix ClassArray::arr_sub(Matrix a, Matrix b) {
...
}
Matrix g;
g = cm.arr_sub(T,W);
And if you have a compiler that supports C++11 you can even do a template type alias:
template<typename T,int Rows,int Columns>
using Matrix2d = std::array<std::array<T,Columns>,Rows>;
Matrix2d<float,100,100> g;
Note on performance
There is one reason you might not want to return an std::array by value. If the array is large then there may be a signficant performance cost in copying the data from the return value into the variable you assign it to. If that ever proves to be a problem for you, then the solution with std::array is the same as it would be for other large types; use an 'out' parameter instead of returning by value.
void arr_sub(Matrix a, Matrix b, Matrix &result);
Matrix g;
arr_sub(T,W,g);
This doesn't apply to std::vector because std::vector can take advantage of move semantics to avoid having to copy all its elements.