Linear Algebra

• Vectors in Rn and Cn , Spatial Vectors 
• Algebra of Matrices
• Systems of Linear Equations
• Vector Spaces. 
• Linear Mappings
• Inner Product Spaces, Orthogonality
• Determinants 
• Diagonalization: Eigenvalues and Eigenvectors 
• Canonincal forms
• Linear Functionals and the Dual Space 
• Bilinear, Quadratic, and Hermitian Forms
• Linear Operators on Inner Product Space
• APPENDIX A Multilinear Product 
• APPENDIX B Algebraic Structures 
• APPENDIX C Polynomials over a Field
• APPENDIX D Odds and End 
• List of symbols
• Index