Part of MSEE courses.
University Northeastern University, Boston, Massachusetts.
Dr. Dr. Tadmor. , Electrical Eng. Dept, Northeastern Univ.
Fundamental Algebraic Concepts: Sets, functions, relations, operations; Algebraic structures; group, ring, ﬁelds, homomorphisms, polynomials; Vector spaces and linear operators; representations, matrices and linear algebraic equations, orthogonality, equivalence and similarity transformations, eigenvalues and eigenvectors, canonical forms, functions of a square matrix, quadratic forms and congruence transformations, orthogonal transformations; introduction to polynomial matrices; Applications to communications and control theory.
Engineering Analysis , Vector Space approach by Robert J. Schilling , Hua Lee. And Finite Dimensional Vector Space, by R.Halmos.