Some Notes on Linear Algebra

Preface

WarningWinter Break

Updates may be less frequent. Content will be more varied, including interesting problems and topics from other areas of math.

Tip

Recommended Reading:

• Part 4
  • 4.6 Rank - Exploration on Orthogonality
  • Miscellaneous - Solving for Bases Using Column Operations
• 3.1 Introduction to Determinants - Proof of Theorems
• Part 2 - Interesting Problems
• 1.7 Linear Independence - Random Thoughts on Its Characterization

Not Recommended Reading:

• 2.5 Matrix Factorizations (Reason: flawed proofs)

Pending:

• 3.2 [R] Number Theory? - Quotient Spaces

This website contains notes, including proofs, random thoughts, and explorations, when I am taking a linear algebra course in grade 12.

The textbook used in the course, Linear Algebra and Its Applications 5th Edition (Lay, Lay, and McDonald 2016), serves as the basis of this note.

TipExplanation of notation in titles

• [R]: Random thoughts and explorations.

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Lay, David C, Steven R Lay, and Judith McDonald. 2016. Linear Algebra and Its Applications. 5th ed. Pearson.