| Book Exercise Lanes | exercise | 2 | Open |
| Column Space, Nullspace, and Rank Explain What a Matrix Can Produce | concept | 1 | Open |
| Determinants Measure Scaling, Orientation, and Singularity | concept | 1 | Open |
| Diagonalization and Similarity Make Repeated Action Computable | concept | 3 | Open |
| Eigenvalues and Eigenvectors Reveal Invariant Action | concept | 2 | Open |
| Elimination Turns Geometry into an Algorithm | concept | 2 | Open |
| Independence, Basis, and Dimension Choose Coordinates Without Waste | concept | 1 | Open |
| Inverses and Transposes Are Structural Tools | concept | 1 | Open |
| Learning Resources | resource | 9 | Open |
| Linear Transformations Are the Real Object and Matrices Are Representations | concept | 2 | Open |
| Matrix Multiplication and Factorization Encode Composition | concept | 2 | Open |
| Norms, Conditioning, Iterative Methods, and Method Choice | concept | 1 | Open |
| Orthogonality Creates Clean Separation | concept | 1 | Open |
| Positive Definite Matrices Turn Quadratic Forms into Geometry | concept | 2 | Open |
| Projections, Least Squares, and QR Turn Inconsistency into Best Approximation | concept | 1 | Open |
| Reference and Selective Reading | reference | 9 | Open |
| Singular Value Decomposition Is the Universal Factorization | concept | 2 | Open |
| Subspaces Organize Allowed Moves and Solution Sets | concept | 2 | Open |