Course - Linear Algebra MT23

Created: September 24, 2023 | Updated: September 30, 2025 | Read markdown | About these notes | View in context | Study these flashcards

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Part A course that continues on from the Prelim courses Course - Linear Algebra MT22^U and Course - Linear Algebra II HT23^U. Introduces the minimal polynomial, the primary decomposition theorem, Jordan normal form, dual spaces, adjoints, and complex inner product spaces.

• Course Webpage
• Lecture Notes
• Previous linear algebra courses:
  • Course - Linear Algebra MT22^U
  • Course - Linear Algebra II HT23^U
• Other courses this term: Courses MT23^U

Problem Sheets

• Sheet 1
• Sheet 2
• Sheet 3
• Sheet 4

Notes

• Notes - Linear Algebra MT23, Integral domains^U
• Notes - Linear Algebra MT23, Rings^U
• Notes - Linear Algebra MT23, Fields^U
• Notes - Linear Algebra MT23, Homomorphisms^U
• Notes - Linear Algebra MT23, Rank-nullity theorem^U
• Notes - Linear Algebra MT23, Quotient spaces^U
• Notes - Linear Algebra MT23, Minimal polynomials^U
• Notes - Linear Algebra MT23, Cayley-Hamilton theorem^U
• Notes - Linear Algebra MT23, Triangular form theorem^U
• Notes - Linear Algebra MT23, Primary decomposition theorem^U
• Notes - Linear Algebra MT23, Dual spaces^U
• Notes - Linear Algebra MT23, Annihilators^U
• Notes - Linear Algebra MT23, Inner product spaces^U
• Notes - Linear Algebra MT23, Adjoints^U
• Notes - Linear Algebra MT23, Invariant subspaces^U
• Notes - Linear Algebra MT23, Orthogonal complements^U
• Notes - Linear Algebra MT23, Jordan normal form^U
• Notes - Linear Algebra MT23, Orthogonal sets^U
• Notes - Linear Algebra MT23, Orthogonal and unitary transformations^U
• Notes - Linear Algebra MT23, Misc^U

Lectures

• Lecture - Linear Algebra MT23, I^U
• Lecture - Linear Algebra MT23, II^U
• Lecture - Linear Algebra MT23, III^U
• Lecture - Linear Algebra MT23, IV^U
• Lecture - Linear Algebra MT23, V^U
• Lecture - Linear Algebra MT23, VI^U
• Lecture - Linear Algebra MT23, VII^U
• Lecture - Linear Algebra MT23, VIII^U
• Lecture - Linear Algebra MT23, IX^U
• Lecture - Linear Algebra MT23, X^U
• Lecture - Linear Algebra MT23, XI^U
• Lecture - Linear Algebra MT23, XII^U
• Lecture - Linear Algebra MT23, XIII^U
• Lecture - Linear Algebra MT23, XIV^U
• Lecture - Linear Algebra MT23, XV^U
• Lecture - Linear Algebra MT23, XVI^U

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