Heat oven to 400° F. Spray a 8"x8" baking pan with cooking spray.
In a large mixing bowl, mix together the cornmeal, flour, sugar, baking powder, baking soda, and salt.
In a separate bowl, mix together the eggs, buttermilk, and melted butter.
Pour the wet ingredients into the bowl with the dry ingredients. Fold together until there are no more dry spots.
Pour the batter into the prepared baking dish. Bake for 25 to 30 minutes, or until a toothpick inserted into the center comes out clean.
Let cool in the pan, then slice into squares and serve.
Delicious with butter and honey or maple syrup. Also goes well with chili, collard greens, beans, etc.