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Appendix SL Sage

Section SSLE Solving Systems of Linear Equations
Sage GS Getting Started
Section RREF Reduced Row-Echelon Form
Sage M Matrices
Sage V Vectors
Sage AM Augmented Matrix
Sage RO Row Operations
Sage RREF Reduced Row-Echelon Form
Section TSS Types of Solution Sets
Sage FDV Free and Dependent Variables
Sage RCLS Recognizing Consistency of a Linear System
Sage SS1 Solving Systems, Part 1
Section HSE Homogeneous Systems of Equations
Sage SHS Solving Homogeneous Systems
Sage NS Null Space
Sage SH Sage Help
Section NM Nonsingular Matrices
Sage NM Nonsingular Matrix
Sage IM Identity Matrix
Sage NME1 Nonsingular Matrix Equivalences, Round 1
Section VO Vector Operations
Sage VSCV Vector Spaces of Column Vectors
Sage VO Vector Operations
Sage ANC A Note on Coercion
Section LC Linear Combinations
Sage LC Linear Combinations
Sage SLC Solutions and Linear Combinations
Sage SS2 Solving Systems, Part 2
Sage PSHS Particular Solutions, Homogeneous Solutions
Section SS Spanning Sets
Sage SS Spanning Sets
Sage CSS Consistent Systems and Spans
Sage SSNS Spanning Sets for Null Spaces
Sage SS3 Solving Systems, Part 3
Section LI Linear Independence
Sage LI Linear Independence
Sage NME2 Nonsingular Matrix Equivalences, Round 2
Sage LISS Linearly Independent Spanning Sets
Section LDS Linear Dependence and Spans
Sage RLD Relations of Linear Dependence
Sage COV Casting Out Vectors
Sage RS Reducing a Span
Sage RES Reworking a Span
Section O Orthogonality
Sage EVIC Exact Versus Inexact Computations
Sage CNIP Conjugates, Norms and Inner Products
Sage OGS Orthogonality and Gram-Schmidt
Section MO Matrix Operations
Sage MS Matrix Spaces
Sage MO Matrix Operations
Section MM Matrix Multiplication
Sage MVP Matrix-Vector Product
Sage MM Matrix Multiplication
Sage PMM Properties of Matrix Multiplication
Section MISLE Matrix Inverses and Systems of Linear Equations
Sage MISLE Matrix Inverse, Systems of Equations
Section MINM Matrix Inverses and Nonsingular Matrices
Sage MI Matrix Inverse
Sage NME3 Nonsingular Matrix Equivalences, Round 3
Sage UM Unitary Matrices
Section CRS Column and Row Spaces
Sage CSCS Column Space and Consistent Systems
Sage CSOC Column Space, Original Columns
Sage NME4 Nonsingular Matrix Equivalences, Round 4
Sage RSM Row Space of a Matrix
Section FS Four Subsets
Sage LNS Left Null Spaces
Sage RRSM Row-Reducing a Symbolic Matrix
Sage EEF Extended Echelon Form
Section S Subspaces
Sage VS Vector Spaces
Section B Bases
Sage B Bases
Sage SUTH0 Sage Under The Hood, Round 0
Sage NME5 Nonsingular Matrix Equivalences, Round 5
Sage C Coordinates
Section D Dimension
Sage D Dimension
Sage RNM Rank and Nullity of a Matrix
Sage NME6 Nonsingular Matrix Equivalences, Round 6
Section PD Properties of Dimension
Sage DMS Dimensions of Matrix Subspaces
Section DM Determinant of a Matrix
Sage EM Elementary Matrices
Sage DM Determinant of a Matrix
Section PDM Properties of Determinants of Matrices
Sage NME7 Nonsingular Matrix Equivalences, Round 7
Sage PDM Properties of Determinants of Matrices
Section EE Eigenvalues and Eigenvectors
Sage EE Eigenvalues and Eigenvectors
Sage CEVAL Computing Eigenvalues
Sage CEVEC Computing Eigenvectors
Section PEE Properties of Eigenvalues and Eigenvectors
Sage NME8 Nonsingular Matrix Equivalences, Round 8
Section SD Similarity and Diagonalization
Sage SM Similar Matrices
Sage MD Matrix Diagonalization
Section LT Linear Transformations
Sage LTS Linear Transformations, Symbolic
Sage LTM Linear Transformations, Matrices
Sage LTB Linear Transformations, Bases
Sage PI Preimages
Sage OLT Operations on Linear Transformations
Section ILT Injective Linear Transformations
Sage ILT Injective Linear Transformations
Sage CILT Composition of Injective Linear Transformations
Section SLT Surjective Linear Transformations
Sage SLT Surjective Linear Transformations
Sage CSLT Composition of Surjective Linear Transformations
Section IVLT Invertible Linear Transformations
Sage IVLT Invertible Linear Transformations
Sage CIVLT Computing the Inverse of a Linear Transformations
Sage LTOE Linear Transformation Odds and Ends
Sage SUTH1 Sage Under The Hood, Round 1
Section VR Vector Representations
Sage VR Vector Representations
Sage SUTH2 Sage Under The Hood, Round 2
Section MR Matrix Representations
Sage MR Matrix Representations
Sage SUTH3 Sage Under The Hood, Round 3
Sage LTR Linear Transformation Restrictions
Sage NME9 Nonsingular Matrix Equivalences, Round 9
Section CB Change of Basis
Sage ENDO Endomorphisms
Sage CBM Change-of-Basis Matrix
Sage MRCB Matrix Representation and Change-of-Basis
Sage CELT Designing Matrix Representations
Sage SUTH4 Sage Under The Hood, Round 4