Content
1. Systems of Linear Equations
1.1 Solutions and Elementary Operations
1.2 Gaussian Elimination
1.3 Homogeneous Equations Matrix Algebra
2. Matrix Algebra
2.1 Matrix Addition ,Scalar Multiplication, and Transposition
2.2 Equations, Matrices, and Transformations
2.3 Matrix Multiplication
2.4 Matrix Inverses
2.5 Elementary Matrices
2.6 Linear Transformations
3. Determinants and Diagonalization
3.1 The Cofactor Expansion
3.2 Determinants and Matrix Inverses
3.3 Diagonalization and Eigenvalues
4. Vector Space [latex]R^n[/latex]
4.1 Subspaces and Spanning
4.2 Independence and Dimension
4.3 Orthogonality
