Linear algebra text after abstract algebra I wonder whether there exists a linear algebra text dealing the materials of linear algebra suitably under the assumption that the reader is familiar with basic abstract algebra. 
I know, strickly speaking, linear algebra is one of the topic of abstract algebra. But the modern text book often deal them briefly, under the section of 'vecter space'. But the scale of topics in linear algebra is far more than what one section can contained.
 A: Perhaps this one . . .
Roman, Advanced Linear Algebra, 3rd Ed (2008)
From the preface:

This book is a thorough introduction to linear algebra, for the graduate or
  advanced undergraduate student. Prerequisites are limited to a knowledge of the
  basic properties of matrices and determinants. However, since we cover the
  basics of vector spaces and linear transformations rather rapidly, a prior course in linear algebra (even at the sophomore level), along with a certain measure of “mathematical maturity,” is highly desirable.
Chapter $0$ contains a summary of certain topics in modern algebra that are
  required for the sequel. This chapter should be skimmed quickly and then used
  primarily as a reference.

Chapter $1$ starts with:

Definition: Let $F$ be a field, whose elements are referred to as scalars. A vector space over $F$  is a nonempty set $V$, whose elements are referred to as vectors, together with two operations (rest snipped).

Note that $F$ is an arbitrary field, so the author assumes that the student is familiar with that concept.
A: Hungerford's Algebra is an abstract algebra book that covers linear algebra under assumption that you know quite a bit of abstract algebra first.  To be specific, it's first $6$ chapters are: "Groups", "Structure of Groups", "Rings", "Modules", "Fields and Galois Theory", and "Structure of Fields".  
Linear algebra is covered fairly comprehensively in the seventh chapter: matrices and linear maps, determinants, matrix similarity, eigenvectors and eigenvalues, Jordan canonical form, Smith normal form, etc.
