vectors, lengths, dot products, equations, elimination, matrix operation, factorization, transposes, permutations, spaces, rank, linear equations, homogenous and particular solutions, complete solution, independence, vector spaces and subspaces, orthogonality, Gram-Schmidt process, projections, least square approximations, determinants, diagonalization, positive definite matrices, similar matrices, singular value decomposition, complex vectors and matrices (Equivalent EE 204 Introduction to Linear Systems)