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Preface
Linear Equations
(Getting Serious About) Numbers
Gaussian Elimination
Vector Equations
\(A{\bf x} = {\bf b}\)
Linear Independence
Linear Transformations
The Matrix of a Linear Transformation
Matrix Algebra
The Inverse of a Matrix
Markov Chains
Matrix Factorizations
Computer Graphics
Subspaces
Dimension and Rank
Eigenvectors and Eigenvalues
The Characteristic Equation
Diagonalization
PageRank
Analytic Geometry in
\(\mathbb{R}^n\)
Orthogonal Sets and Projection
Least Squares
Linear Models
Symmetric Matrices
The Singular Value Decomposition
Applications of the SVD
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