Ma 112 99S
All sections are from the text Introduction
to Linear Algebra by Gilbert Strang.
| 0.0 Introduction to Netscape, FTP, and SNB |
| 1.1 Vectors and Linear combinations |
| 1.2 Lengths and dot Products |
| 2.1 Vectors and Linear Equations |
| 2.2 The Idea of elimination |
| 2.4 Rules for Matrix Operations |
| 2.3 Elimination Using Matrices |
| 3.3 The Rank and the Row Reduced Form |
| 2.5 Inverse Matrices |
| 2.6 Elimination = Factorization: A=LU |
| 2.7 Transposes and Permutations |
| 3.1 Spaces of Vectors |
| 3.2 The Nullspace of A: Solving AX=0 |
| 3.3 The Rank and the Row Reduced Form |
| 3.4 The Complete Solution to AX=B |
| 3.5 Independence, Basis and Dimension |
| 3.6 Dimensions of the Four Subspaces |
| 5.1 Properties of Determinants |
| 5.2 Permutations and Cofactors |
| 5.3 Cramer's Rule, Inverses, Volumes |
| 6.1 Introduction to Eigenvalues |
| 6.2 Diagonalizing a Matrix |
| 6.3 Applications to differential Equations |