alinowrouzii / Linear-Algebra

A descriptive & intuitive guide to Linear Algebra!

Linear-Algebra

A descriptive & intuitive guide to Linear Algebra! (based on the Chapters of Linear Algebra and Its Applications. C.Lay)
Made by Matin Tavakoli and Hossein Zaredar.

Reference Chapters:

Chapter 1: Linear Equations in Linear Algebra

Chapter 2: Matrix Algebra

Chapter 3: Determinants

Chapter 4: Vector Spaces

Chapter 5: Eigenvalues and Eigenvectors

Chapter 6: Orthogonality and Least Squares

Chapter 7: Symmetric Matrices and Quadratic Forms - Part 1

Chapter 7: Symmetric Matrices and Quadratic Forms - Part 2

Applications:

Cryptography

Resources:

• 3Blue1Brown: Essence of Linear Algebra

• Steve Brunton: Linear Algebra

• Physics Videos by Eugene Khutoryansky:

  • Eigenvalues and Eigenvectors, Imaginary and Real
  • Cross Product and Dot Product- Visual explanation

• Zach Star:

  • Dear linear algebra students, This is what matrices (and matrix manipulation) really look like
  • The applications of eigenvectors and eigenvalues - That thing you heard in Endgame has other uses

• Other:

  • Gram-Schmidt Process / Orthonormalization of a basis in R³ (animation)
  • Understanding Singular Value Decomposition and its Application in Data Science