Ch.1 Linear Equations and Matrices Ch.2 Applications of Linear Equations and Matrices (Optional) Ch.3 Determinants Ch.4 Vectors in Rn Ch.5 Applications of Vectors in R2 and R3 (Optional) Ch.6 Real Vector Spaces Ch.7 Applications of Real Vector Spaces (Optional) Ch.8 Eigenvalues, Eigenvectors, and Diagonalization Ch.9 Applications of Eigenvalues and Eigenvectors (Optional) Ch.10 Linear Transformations and Matrices Ch.11 Linear Programming (Optional) Ch.12 MATLAB for Linear Algebra APPENDIX A Complex Numbers APPENDIX B Further Directions Answers to Odd-Numbered Exercises and Chapter Tests Index