Table of Contents:
  • List of symbols ; Vectors in Rn and Cn, spatial vectors ; Algebra of matrices ; Systems of linear equations ; Vector spaces ; Linear mappings ; Linear mappings and matrices ; Inner product spaces, orthogonality ; Determinants ; Diagonalization: eigenvalues and eigenvectors ; Canonical forms ; Linear functionals and the dual space ; Bilinear, quadratic, and hermitian forms ; Linear operators on inner product spaces ; Multilinear products ; Algebraic structures ; Polynomials over a field ; Odds and ends.