Preheat oven 180C. Grease and line 22cm spring form cake pan.
Combine all cake ingredients, except carrots and nuts, in a food processor and whizz until well combined.
Add carrots and nuts and stir through.
Pour into cake pan, bake 55-60 minutes until done. Test with a skewer.
Cool in pan for 10 minutes, then remove and cool on a cake rack.
Combine icing ingredients in food processor and whizz until smooth.
Ice cake when cooled.