Over the course of the year my fellow students and I have spent much of our spare time investigating the properties of the set of infinite dimensional vectors associated with the roots of rational numbers by way of the former's elements being the powers to which the latter's prime factors are raised, which we have dubbed

We proceeded to define functions of such numbers by applying operations of linear algebra to their

**-space.***ℓ*We proceeded to define functions of such numbers by applying operations of linear algebra to their

**-space vectors; firstly with their magnitudes and secondly with their inner products. This time, I shall report upon our explorations of the last operation that we have taken into consideration; the products of matrices and vectors.***ℓ*Full text...