Mix 2 tbsp egg replacer with 6 tbsp water. Mix well and keep it aside.
Preheat oven to 185C. Grease and line a 8" square pan.
Sift together the flour, baking powder, baking soda, salt and cinnamon. Set aside.
In a large bowl, mix together the sugar and egg replacer mix. Whisk well into a thick batter.
Add in the oil, ext add grated carrots.
Finally add the dry ingredients in batches and slowly fold in.
Add the chopped walnuts and fold in well.
Pour into the lined tray and spread well.
Bake at 185 C for 40 to 45 minutes. Check with a toothpick inserted into the cake to see if it comes out clean.
Rest for 10 to 15 mins.
Frost with cream cheese or dust with icing sugar.