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Linear Algebra Table of Contents

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Recent Revisions

General form of Ak = O and Jordan Form (25.03.22)

Buckingham’s Pi Theorem (25.03.16)

If an n × n matrix A satisfies Aⁿ⁺¹ = O, then Aⁿ = O (25.03.07)

Ⅰ. General Theory

Lecture 1. Vector Spaces

Lecture 2. Rank of a Matrix

Lecture 3. Determinants and Inverse Matrices

Lecture 4. Eigenvalues and Eigenforms

Lecture 5. Linear Algebra and Calculus

Lecture 6. Linear Algebra and Machine Learning

Ⅱ. Problem Solving

Linear Algebra Problems [01-20]

Linear Algebra Problems [21-40]

Collection of Linear Algebra Problems from Algebra Classics

Ⅲ. Appendix

Minimal Polynomial and Irreducible Polynomial

rank-nullity theorem

rank(AB) ≤ min{rank(A), rank(b)}

Frobenius Rank Inequality

Input: 2020.04.22 10:01

Modified: 2024.10.17 00:52