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Interactive Linear Algebra [1553]
Dan Margalit, Joseph Rabinoff
Front Matter
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Contributors to this textbook
Variants of this textbook
Overview
1
Systems of Linear Equations: Algebra
Systems of Linear Equations
Row Reduction
Parametric Form
2
Systems of Linear Equations: Geometry
Vectors
Vector Equations and Spans
Matrix Equations
Solution Sets
Linear Independence
Subspaces
Basis and Dimension
The Rank Theorem
3
Linear Transformations and Matrix Algebra
Matrix Transformations
One-to-one and Onto Transformations
Linear Transformations
Matrix Multiplication
Matrix Inverses
The Invertible Matrix Theorem
4
Determinants
Determinants: Definition
Cofactor Expansions
Determinants and Volumes
5
Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
The Characteristic Polynomial
Diagonalization
Complex Eigenvalues
Stochastic Matrices
6
Orthogonality
Dot Products and Orthogonality
Orthogonal Complements
Orthogonal Projection
The Method of Least Squares
Back Matter
Complex Numbers
Notation
Hints and Solutions to Selected Exercises
GNU Free Documentation License
Index
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Index
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Back Matter
Back Matter
ΒΆ permalink
A
Complex Numbers
B
Notation
C
Hints and Solutions to Selected Exercises
D
GNU Free Documentation License
Index
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