Preheat oven to 350°F. Line 12 muffin molds with paper cup liners.
Combine flour, baking soda and cinnamon in a medium bowl. In a separate mixing bowl, place the eggs, oil, vanilla and sugar together and whisk. Stir in flour mixture until combined then stir in carrots and pecans. Fill cups three-quarters full.
Bake until a toothpick inserted into the center of a muffin comes out clean, about 18-20 minutes.
Cool muffins in the pan for about 5 minutes, then invert them into a rack.