Ryan Emanuel

I'm a lil confused. I'm using linear regression to approximate some color space transforms and package it in a lut. My only concern is are values near 0 and 1. For instance some of the values in the 3x3 matrix are negative so some elements of the lut are beneath 0 and some values are scaled up to 1.5, how is this operation for going from wide gamut to rec 709 not destroying information in the 0-1 range?