Course - Linear Algebra I MT22

Created: October 18, 2022

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The first algebra course of the degree, serving as an introduction to linear algebra. Linear algebra is the branch of mathematics concerned with concepts like vectors and linear maps.

This course dealt specifically with the basic definitions of a vector space, bases, linear maps and matrices.

• Course Webpage
• Lecture Notes
• Other linear algebra courses:
  • [[Course - Linear Algebra II HT23]]^U
  • …and in part A, the theme continues with:
  • [[Course - Linear Algebra MT23]]^U
• Other courses this term: [[Courses MT22]]^U

Notes

• [[Notes - Linear Algebra I MT22, Chapter 1]]^U
• [[Notes - Linear Algebra I MT22, Chapter 2]]^U
• [[Notes - Linear Algebra I MT22, Chapter 3]]^U
• [[Notes - Linear Algebra I MT22, Chapter 4]]^U
• [[Notes - Linear Algebra I MT22, Chapter 5]]^U
  • [[Notes - Linear Algebra I MT22, Steinitz Exchange Lemma]]^U
  • [[Notes - Linear Algebra I MT22, Dimension Formula]]^U
• [[Notes - Linear Algebra I MT22, Chapter 6]]^U
  • [[Notes - Linear Algebra I MT22, Rank-Nullity Theorem]]^U
• [[Notes - Linear Algebra I MT22, Chapter 7]]^U
  • [[Notes - Linear Algebra I MT22, Change of basis theorem]]^U
  • [[Notes - Linear Algebra I MT22, Column rank and row rank]]^U
• [[Notes - Linear Algebra I MT22, Chapter 8]]^U
  • [[Notes - Linear Algebra I MT22, Cauchy-Schwarz Inequality]]^U
  • [[Notes - Linear Algebra I MT22, Triangle Inequality]]^U
• [[Notes - Linear Algebra MT22, Misc]]^U

Lectures

• [[Lecture - Linear Algebra I MT22, I]]^U
• [[Lecture - Linear Algebra I MT22, II]]^U
• [[Lecture - Linear Algebra I MT22, III]]^U
• [[Lecture - Linear Algebra I MT22, IV]]^U
• [[Lecture - Linear Algebra I MT22, V]]^U
• [[Lecture - Linear Algebra I MT22, VI]]^U
• [[Lecture - Linear Algebra I MT22, VII]]^U
• [[Lecture - Linear Algebra I MT22, VIII]]^U
• [[Lecture - Linear Algebra I MT22, IX]]^U
• [[Lecture - Linear Algebra I MT22, X]]^U
• [[Lecture - Linear Algebra I MT22, XI]]^U
• [[Lecture - Linear Algebra I MT22, XII]]^U
• [[Lecture - Linear Algebra MT22, XIII]]^U
• [[Lecture - Linear Algebra I MT22, XIV]]^U

Problem Sheets

• Sheet 1 (on lectures 1 and 2)
• Sheet 2 (on lectures 3 and 4)
• Sheet 3 (on lectures 5 and 6)
• Sheet 4 (on lectures 7 and 8)
• Sheet 5 (on lectures 9 and 10), [[Problem Sheet - Linear Algebra I MT22, V]]^U
• Sheet 6 (on lectures 11 and 12)
• Sheet 7 (on lectures 13 and 14)

Proofs

• [[Proofs - Linear Algebra I MT22]]^U

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• [[Notes - Linear Algebra I MT22, Column rank and row rank]]^U

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• [[Notes - Linear Algebra I MT22, Dimension Formula]]^U

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• [[Notes - Linear Algebra I MT22, Chapter 6]]^U

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• [[Notes - Linear Algebra I MT22, Chapter 3]]^U

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• [[Notes - Linear Algebra I MT22, Chapter 4]]^U

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• [[Notes - Linear Algebra I MT22, Chapter 1]]^U

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