Book Exercise Lanes
After each cluster, select two exercises from the matching topic in the reading guide: one derivation and one changed-assumption or counterexample problem. Record edition, section, exercise number, attempted proof and source of feedback. Problem numbering is not assumed identical across editions.
Use the Strang book index to locate the source text; the reading guide supplies local topic locators.
| Lane | Required explanation |
|---|---|
| Systems | Complete solution set or impossibility certificate |
| Spaces/coordinates | Independence, span, ambient space and coordinate order |
| Projection | Orthogonality plus optimality and uniqueness conditions |
| Spectra/PD | Hypotheses, field and a failure example |
| SVD/numerics | Factor shapes, error norm, cutoff and perturbation model |
Book exercises reinforce the 20 required practice tasks. They do not replace failed competency gates. Optional deeper reading adds time; do not treat a long bibliography as completed evidence.