Oxford Maths Notes

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Year 1

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Term 1

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M1 - Linear Algebra I

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Theorems

Theorems

12 items under this folder.

  • Aug 22, 2025

    01 - General Commutative Matrix

    • linear-algebra
    • linear-algebra-1
  • Aug 22, 2025

    02 - Existence of RRE Form

    • linear-algebra
    • linear-algebra-1
  • Aug 25, 2025

    03 - Uniqueness of RRE Form

    • linear-algebra
    • linear-algebra-1
  • Aug 25, 2025

    04 - Steinitz Exchange Lemma

    • linear-algebra
    • linear-algebra-1
  • Aug 25, 2025

    05 - Size Inequality for Independent vs Spanning Sets

    • Dec 31, 2025

      06 - Dimension Formula

      • linear-algebra
      • linear-algebra-1
    • Aug 25, 2025

      07 - Rank-Nullity Theorem

      • linear-algebra
      • linear-algebra-1
    • Aug 25, 2025

      08 - Matrix Representation of a Composition of Linear Maps

      • linear-algebra
      • linear-algebra-1
    • Aug 22, 2025

      09 - Change of Basis Theorem

      • linear-algebra
      • linear-algebra-1
    • Oct 01, 2026

      10 - Change of Basis Theorem V2

      • linear-algebra
      • linear-algebra-1
    • Sep 12, 2025

      10 - Column Rank equals Row Rank

      • linear-algebra
      • linear-algebra-1
    • Aug 25, 2025

      11 - Row Rank Criterion on Product of Matrices


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