v.1. Fundamental definitions -- Basic algebraic operations -- Square matrix and its special forms -- Submatrix and partition matrix -- Other matrix operations -- Determinants -- System of simultaneous linear algebraic equations -- Cofactor, adjoint and inverse matrices -- Elementary operations and matrices -- Rank and nullity of a matrix -- Vector (linear) spaces.

v.2. Linear transformation (operators)-- Eigenvalues and eigenvectors -- Canonical forms and matrix factorization -- Bilinear and quadraic forms -- Norms and measures of matrices -- Matrix calculus -- Gneralized inverses.