Elementary Linear Algebra
1. Systems of Linear Equations and Matrices. 2. Determinants. 3. Vectors in R2 and R3. 4. Vector Spaces. 5. Linear Transformations. 6. Eigenvalues, Eigenvesors, And Canonical Forms. Appendix 1: Mathematical Induction. Appendix 2: Complex Numbers. Appendix 3: The Error in Numerical Computations and Computational Complexity. Appendix 4: Gaussian Elimination with Pivoting. Appendix 5: Using MATLAB.