my guess is they cut away at the car not at the bracket that fits the matrix but not the corolla, but evl is right... the CAI as is will not fit with the foglight no matter how hard you try until you start cutting things
it was all the way up the pipe, it was even touching the metal where the pipe protrudes through, so cutting it won't make a difference to how much further up you can push it, but hey don't listen to me i only have it installed on my car
bangn installed mine yesterday, didn't use any of the supplied brackets but it still sits pretty firmly in place, had to remove the foglight but will purchase a k&n filter tomorrow as the trd one is way too big although it makes a mad sound