01 - Preheat oven to 350°F. Grease and flour a 9x5-inch loaf pan or line with parchment paper.
02 - In a large bowl, whisk together the flour, baking soda, baking powder, salt, cinnamon, nutmeg, and ginger until well blended.
03 - In a separate bowl, beat the eggs. Add mashed bananas, vegetable oil, brown sugar, granulated sugar, and vanilla extract. Mix until fully incorporated.
04 - Stir the grated carrots into the wet mixture until evenly distributed.
05 - Add the wet mixture to the dry ingredients. Mix gently until just combined. Do not overmix.
06 - Fold in the chopped walnuts until evenly distributed throughout the batter.
07 - Transfer the batter to the prepared loaf pan. Spread evenly with a spatula.
08 - Bake for 50 to 60 minutes, or until a toothpick inserted in the center comes out clean.
09 - Allow the bread to cool in the pan for 10 minutes. Transfer to a wire rack to cool completely before slicing.