Details


Topics Covered

1 Vector Spaces and Subspaces
2 Null Spaces, Column Spaces, and Linear Transformations
3 Linearly Independent Sets; Bases
4 Coordinate Systems
5 The Dimension of a Vector Space
6 Rank
7 Chenge of basis
8 Eigenvectors and Eigenvalues
9 The Characteristic Equation
10 Diagonalization
11 Eigenvectors and Linear Transformations
12 Complex Eigenvalues
13 Discrete Dynamical Systems
14 Iterative Estimates for Eigenvalues
15 Inner Product, Length, and Orthogonality
16 Orthogonal Sets
17 Orthogonal Projections
18 The Gram—Schmidt Process
19 Least-Squares Problems
20 Inner Product Spaces