Lecture1 | The Geometry of Linear Equations
Lecture2 | Elimination with Matrices
Lecture3 | Multiplication and Inverse Matrices
Lecture4 | Factorization into A=LU
Lecture5 | Transposes, Permutations, Spaces $R^N$
Lecture6 | Column Space & Nullspace
Lecture7 | Solving Ax=0: Pivot Variables, Special Solutions
Lecture9 | Independence, Basis, and Dimension
Lecture10 | The Four Fundamental Subspaces
Lecture11 | Matrix Spaces; Rank1; Small World Graphs
Lecture12 | Graph, Networks, Incidence Matrices
Lecture14 | Orthogonal Vectors and Subspaces
Lecture15 | Projections onto Subspaces
Lecture16 | Projection Matrices and Least Squares
Lecture17 | Orthogonal Matrices and Gram-Schmidt
Lecture18 | Properties of Determinants
Lecture19 | Determinant Formulas and Cofactors