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Chapter 1 Vectors in Rsupn and Csupn Spatial Vectors Chapter 2 Algebra of Matrices Chapter 3 Systems of Linear Equations Chapter 4 Vector Spaces Chapter 5 Linear Mappings Chapter 6 Linear Mappings and Matrices Chapter 7 Inner Product Spaces Orthogonality Chapter 8 Determinants Chapter 11 Linear Functionals and the Dual Space Chapter 12 Bilinear Quadratic and Hermitian Forms Chapter 13 Linear Operators on Inner Product Spaces Multilinear Products Algebraic Structures Polynomials over a Field Odds and Ends List of Symbols Eigenvalues and Eigenvectors Chapter 10 Canonical Forms Index.