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Part C Core
Chapter SLE Systems of Linear Equations
Section WILA What is Linear Algebra?
Section SSLE Solving Systems of Linear Equations
Section RREF Reduced Row-Echelon Form
Section TSS Types of Solution Sets
Section HSE Homogeneous Systems of Equations
Section NM Nonsingular Matrices
Chapter V Vectors
Section VO Vector Operations
Section LC Linear Combinations
Section SS Spanning Sets
Section LI Linear Independence
Section LDS Linear Dependence and Spans
Section O Orthogonality
Chapter M Matrices
Section MO Matrix Operations
Section MM Matrix Multiplication
Section MISLE Matrix Inverses and Systems of Linear Equations
Section MINM Matrix Inverses and Nonsingular Matrices
Section CRS Column and Row Spaces
Section FS Four Subsets
Chapter VS Vector Spaces
Section VS Vector Spaces
Section S Subspaces
Section LISS Linear Independence and Spanning Sets
Section B Bases
Section D Dimension
Section PD Properties of Dimension
Chapter D Determinants
Section DM Determinant of a Matrix
Section PDM Properties of Determinants of Matrices
Chapter E Eigenvalues
Section EE Eigenvalues and Eigenvectors
Section PEE Properties of Eigenvalues and Eigenvectors
Section SD Similarity and Diagonalization
Chapter LT Linear Transformations
Section LT Linear Transformations
Section ILT Injective Linear Transformations
Section SLT Surjective Linear Transformations
Section IVLT Invertible Linear Transformations
Chapter R Representations
Section VR Vector Representations
Section MR Matrix Representations
Section CB Change of Basis
Section OD Orthonormal Diagonalization
Section NLT Nilpotent Linear Transformations
Section IS Invariant Subspaces
Section JCF Jordan Canonical Form
Appendix CN Computation Notes
Section MMA Mathematica
Section TI86 Texas Instruments 86
Section TI83 Texas Instruments 83
Section SAGE SAGE: Open Source Mathematics Software
Appendix P Preliminaries
Section CNO Complex Number Operations
Section SET Sets
Section PT Proof Techniques
Appendix A Archetypes
Archetype A
Archetype B
Archetype C
Archetype D
Archetype E
Archetype F
Archetype G
Archetype H
Archetype I
Archetype J
Archetype K
Archetype L
Archetype M
Archetype N
Archetype O
Archetype P
Archetype Q
Archetype R
Archetype S
Archetype T
Archetype U
Archetype V
Archetype W
Archetype X
Appendix GFDL GNU Free Documentation License
1. APPLICABILITY AND DEFINITIONS
2. VERBATIM COPYING
3. COPYING IN QUANTITY
4. MODIFICATIONS
5. COMBINING DOCUMENTS
6. COLLECTIONS OF DOCUMENTS
7. AGGREGATION WITH INDEPENDENT WORKS
8. TRANSLATION
9. TERMINATION
10. FUTURE REVISIONS OF THIS LICENSE
ADDENDUM: How to use this License for your documents
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