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