  While much is known about the faithfulness of the Burau representation, the
problem remains open for the Gassner representation for every $B_n$ with $n\geq
4$. We first find the definition of the Colored-Burau representation of
Ainshel, Ainshel, Goldfeld, and Lemieux and we show that this is equivalent,
when restricted to the pure braid subgroup, to the Gassner representation. The
methods of Abdulrahim and Knudson require analysis within the lower central
series of a free subgroup of the pure braid group. However, Lipschutz's work
gives a method for analyzing the Gassner representation and the Colored-Burau
structure reduces this analysis to basic linear algebra.
