Under construction. This area is a framework being built: most courses have no teaching material yet, and things may change or break. Private self-study. Not an official programme and not recognised by any ministry or school. No qualification, mark or document is issued, and “years 1 to 3” and “advanced” are names of study paths only.
B08 Linear algebra II: abstract structure
Years 1 to 3 pathB: Years 1 to 3 coreplannedabout 120 h (planning estimate)
Draft lectures and exercises are available for this course. They were written by AI and checked by a second AI; no person has reviewed them yet. Use them as a study aid, not as an authority.
Named in: Years 1 to 3 pathway
Why this course
Abstract structure behind B04: spaces, maps, duality and the spectral theorem.
Prerequisites
- Required
- B01 Mathematical language & proof, B04 Linear algebra I: computation & geometry
- Recommended
- none
- Can be taken at the same time
- none
- Everything required, transitively (3 courses)
- B01, B04, F01
- Courses that require this one
- B13, B18, B19, B20, U05, U07, G02, P01, P05, A05, A12, E02, E31, E32, E34, E37, E40, E44
Concept-level units
Units follow the syllabus order, as a recommended sequence rather than a gate.
- Abstract vector spaces
- Linear maps and duality
- Invariant subspaces
- Eigenstructure and canonical forms
- Inner-product spaces
- Spectral theorem and SVD
Assessable outcome
Prove structural results about maps and connect spectral structure to computation.
Assessment design
- topic exercises
- mixed problem sets
- unseen proof or derivation problems
- cumulative examination
cumulative; uses spaced retrieval
Resources
Every title here is candidate, unverified unless marked verified. Titles were suggested while planning. Nobody has checked that they exist, what they cost or how they are licensed.
- Axler · Linear Algebra Done Right
Content record
- Version
- 0.0.0
- Review
- no review of any kind
- Provenance
- catalogue imported from the owner brief of 29 Oct 2026; no teaching content authored
- Known issues
- none recorded
- Type
- course
Bridges and laboratories
No bridge or laboratory is attached to this course yet.
You and this course
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