Course - Linear Algebra MT23

Created: September 24, 2023
Updated: October 04, 2024

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Part A course that continues on from the Prelim courses [[Course - Linear Algebra I 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 I 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, Adjoints]]^U
• [[Notes - Linear Algebra MT23, Annihilators]]^U
• [[Notes - Linear Algebra MT23, Cayley-Hamilton theorem]]^U
• [[Notes - Linear Algebra MT23, Dual spaces]]^U
• [[Notes - Linear Algebra MT23, Fields]]^U
• [[Notes - Linear Algebra MT23, Homomorphisms]]^U
• [[Notes - Linear Algebra MT23, Inner product spaces]]^U
• [[Notes - Linear Algebra MT23, Integral domains]]^U
• [[Notes - Linear Algebra MT23, Invariant subspaces]]^U
• [[Notes - Linear Algebra MT23, Jordan normal form]]^U
• [[Notes - Linear Algebra MT23, Minimal and characteristic polynomials]]^U
• [[Notes - Linear Algebra MT23, Misc]]^U
• [[Notes - Linear Algebra MT23, Orthogonal complements]]^U
• [[Notes - Linear Algebra MT23, Orthogonal sets]]^U
• [[Notes - Linear Algebra MT23, Orthogonal, unitary and normal transformations]]^U
• [[Notes - Linear Algebra MT23, Primary decomposition theorem]]^U
• [[Notes - Linear Algebra MT23, Quotient spaces]]^U
• [[Notes - Linear Algebra MT23, Rank-nullity theorem]]^U
• [[Notes - Linear Algebra MT23, Rings]]^U
• [[Notes - Linear Algebra MT23, Triangular form theorem]]^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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• [[Notes - Linear Algebra MT23, Cayley-Hamilton theorem]]^U

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• [[Notes - Linear Algebra MT23, Orthogonal, unitary and normal transformations]]^U

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• [[Notes - Linear Algebra MT23, Orthogonal complements]]^U

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• [[Courses MT23]]^U

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• [[Notes - Linear Algebra MT23, Fields]]^U

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• [[Notes - Linear Algebra MT23, Integral domains]]^U

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• [[Notes - Linear Algebra MT23, Minimal and characteristic polynomials]]^U

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• [[Notes - Linear Algebra MT23, Primary decomposition theorem]]^U

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• [[Notes - Linear Algebra MT23, Rings]]^U

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• [[Notes - Linear Algebra MT23, Triangular form theorem]]^U

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• [[Course - Linear Algebra II HT23]]^U

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• [[Notes - Linear Algebra MT23, Orthogonal sets]]^U

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• [[Notes - Linear Algebra MT23, Inner product spaces]]^U

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• [[Notes - Linear Algebra MT23, Misc]]^U

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• [[Notes - Linear Algebra MT23, Dual spaces]]^U

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• [[Abstract Algebra, Judson]]^N

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