Elevate your understanding of linear algebra for computer science!

Key Topics

• 1. What Does “Algebra” Mean?

  Linear Algebra, Episode 1: Introduction

  What Does “Algebra” Mean?

  Linear Algebra, Episode I: Introduction
  Key Topic: What Does “Algebra” Mean?

  
• 2. What Does “Linear” Mean?

  Linear Algebra, Episode 1: Introduction

  What Does “Linear” Mean?

  Linear Algebra, Episode I: Introduction
  Key Topic: What Does “Linear” Mean?

  

Cheat Sheets

• R Cheat Sheet
• Python Cheat Sheet

Key Topics

• 1. Vectors

  Linear Algebra, Episode 2: Vectors

  Vectors

  Linear Algebra, Episode II: Vectors
  Key Topic: Vectors

  
• 2. Five Ways to Think About a Vector

  Linear Algebra, Episode 2: Vectors

  Five Ways to Think About a Vector

  Linear Algebra, Episode II: Vectors
  Key Topic: Five Ways to Think About a Vector

  
• 3. Vectors “in the Wild”

  Linear Algebra, Episode 2: Vectors

  Vectors “in the Wild”

  Linear Algebra, Episode II: Vectors
  Key Topic: Vectors “in the Wild”

  
• 4. Vectors and Functions

  Linear Algebra, Episode 2: Vectors

  Vectors and Functions

  Linear Algebra, Episode II: Vectors
  Key Topic: Vectors and Functions

  
• 5. Geometric Interpretations

  Linear Algebra, Episode 2: Vectors

  Geometric Interpretations

  Linear Algebra, Episode II: Vectors
  Key Topic: Geometric Interpretations

  
• 6. Vector Operations

  Linear Algebra, Episode 2: Vectors

  Vector Operations

  Linear Algebra, Episode II: Vectors
  Key Topic: Vector Operations

  
• 7. Dot Product Magic

  Linear Algebra, Episode 2: Vectors

  Dot Product Magic

  Linear Algebra, Episode II: Vectors
  Key Topic: Dot Product Magic

  
• 8. Norms and Normalization

  Linear Algebra, Episode 2: Vectors

  Norms and Normalization

  Linear Algebra, Episode II: Vectors
  Key Topic: Norms and Normalization

  
• 9. Vectors in R

  Linear Algebra, Episode 2: Vectors

  Vectors in R

  Linear Algebra, Episode II: Vectors
  Key Topic: Vectors in R

  
• 10. Vectors in Python

  Linear Algebra, Episode 2: Vectors

  Vectors in Python

  Linear Algebra, Episode II: Vectors
  Key Topic: Vectors in Python

  

Cheat Sheets

• R Cheat Sheet
• Python Cheat Sheet

Key Topics

• 1. The Domino Game (Part 1)

  Linear Algebra, Episode 3: Linear Independence

  The Domino Game (Part 1)

  Linear Algebra, Episode III: Linear Independence
  Key Topic: The Domino Game (Part 1)

  
• 2. The Domino Game (Part 2)

  Linear Algebra, Episode 3: Linear Independence

  The Domino Game (Part 2)

  Linear Algebra, Episode III: Linear Independence
  Key Topic: The Domino Game (Part 2)

  
• 3. Linear Independence

  Linear Algebra, Episode 3: Linear Independence

  Linear Independence

  Linear Algebra, Episode III: Linear Independence
  Key Topic: Linear Independence

  
• 4. Definitions and Concepts

  Linear Algebra, Episode 3: Linear Independence

  Definitions and Concepts

  Linear Algebra, Episode III: Linear Independence
  Key Topic: Definitions and Concepts

  
• 5. Linear Independence in R

  Linear Algebra, Episode 3: Linear Independence

  Linear Independence in R

  Linear Algebra, Episode III: Linear Independence
  Key Topic: Linear Independence in R

  
• 6. Linear Independence in Python

  Linear Algebra, Episode 3: Linear Independence

  Linear Independence in Python

  Linear Algebra, Episode III: Linear Independence
  Key Topic: Linear Independence in Python

  

Cheat Sheets

• R Cheat Sheet
• Python Cheat Sheet

Key Topics

• 1. Introduction

  Linear Algebra, Episode 4: Matrices

  Introduction

  Linear Algebra, Episode IV: Matrices
  Key Topic: Introduction

  
• 2. The Matrix

  Linear Algebra, Episode 4: Matrices

  The Matrix

  Linear Algebra, Episode IV: Matrices
  Key Topic: The Matrix

  
• 3. Matrix Operations

  Linear Algebra, Episode 4: Matrices

  Matrix Operations

  Linear Algebra, Episode IV: Matrices
  Key Topic: Matrix Operations

  
• 4. Matrix-Vector Multiplication

  Linear Algebra, Episode 4: Matrices

  Matrix-Vector Multiplication

  Linear Algebra, Episode IV: Matrices
  Key Topic: Matrix-Vector Multiplication

  
• 5. Some “Special” Matrices

  Linear Algebra, Episode 4: Matrices

  Some “Special” Matrices

  Linear Algebra, Episode IV: Matrices
  Key Topic: Some “Special” Matrices

  
• 6. Matrices in R

  Linear Algebra, Episode 4: Matrices

  Matrices in R

  Linear Algebra, Episode IV: Matrices
  Key Topic: Matrices in R

  
• 7. Matrices in Python

  Linear Algebra, Episode 4: Matrices

  Matrices in Python

  Linear Algebra, Episode IV: Matrices
  Key Topic: Matrices in Python

  

Cheat Sheets

• R Cheat Sheet
• Python Cheat Sheet

Key Topics

• 1. Linear Transformations/Maps

  Linear Algebra, Episode 5: Linear Transformations

  Linear Transformations/Maps

  Linear Algebra, Episode V: Linear Transformations
  Key Topic: Linear Transformations/Maps

  
• 2. Linear Operators

  Linear Algebra, Episode 5: Linear Transformations

  Linear Operators

  Linear Algebra, Episode V: Linear Transformations
  Key Topic: Linear Operators

  
• 3. The “Kernel” of a Matrix

  Linear Algebra, Episode 5: Linear Transformations

  The “Kernel” of a Matrix

  Linear Algebra, Episode V: Linear Transformations
  Key Topic: The “Kernel” of a Matrix

  
• 4. The Rank-Nullity Theorem

  Linear Algebra, Episode 5: Linear Transformations

  The Rank-Nullity Theorem

  Linear Algebra, Episode V: Linear Transformations
  Key Topic: The Rank-Nullity Theorem

  
• 5. Linear Transformations in R

  Linear Algebra, Episode 5: Linear Transformations

  Linear Transformations in R

  Linear Algebra, Episode V: Linear Transformations
  Key Topic: Linear Transformations in R

  
• 6. Linear Transformations in Python

  Linear Algebra, Episode 5: Linear Transformations

  Linear Transformations in Python

  Linear Algebra, Episode V: Linear Transformations
  Key Topic: Linear Transformations in Python

  

Key Topics

• 1. Matrix-Matrix Multiplication

  Linear Algebra, Episode 6: Matrix Multiplication

  Matrix-Matrix Multiplication

  Linear Algebra, Episode VI: Matrix Multiplication
  Key Topic: Matrix Multiplication

  
• 2. Matrix Multiplication “Surprises”

  Linear Algebra, Episode 6: Matrix Multiplication

  Matrix Multiplication “Surprises”

  Linear Algebra, Episode VI: Matrix Multiplication
  Key Topic: Matrix Multiplication “Surprises”

  
• 3. Matrix Multiplication Intuition

  Linear Algebra, Episode 6: Matrix Multiplication

  Matrix Multiplication Intuition

  Linear Algebra, Episode VI: Matrix Multiplication
  Key Topic: Matrix Multiplication Intuition

  
• 4. Matrix Inverse

  Linear Algebra, Episode 6: Matrix Multiplication

  Matrix Inverse

  Linear Algebra, Episode VI: Matrix Multiplication
  Key Topic: Matrix Inverse

  
• 5. Singular Matrices

  Linear Algebra, Episode 6: Matrix Multiplication

  Singular Matrices

  Linear Algebra, Episode VI: Matrix Multiplication
  Key Topic: Singular Matrices

  
• 6. Matrix Multiplication in R

  Linear Algebra, Episode 6: Matrix Multiplication

  Matrix Multiplication in R

  Linear Algebra, Episode VI: Matrix Multiplication
  Key Topic: Matrix Multiplication in R

  
• 7. Matrix Multiplication in Python

  Linear Algebra, Episode 6: Matrix Multiplication

  Matrix Multiplication in Python

  Linear Algebra, Episode VI: Matrix Multiplication
  Key Topic: Matrix Multiplication in Python

  

Key Topics

• 1. Resonant Frequency

  Linear Algebra, Episode 7: Applications

  Resonant Frequency

  Linear Algebra, Episode VII: Linear Algebra and Its Applications
  Key Topic: Resonant Frequency

  
• 1. Leslie Matrices

  Linear Algebra, Episode 7: Applications

  Leslie Matrices

  Linear Algebra, Episode VII: Linear Algebra and Its Applications
  Key Topic: Leslie Matrix

  
• 2. Hamming Codes

  Linear Algebra, Episode 7: Applications

  Hamming Codes

  Linear Algebra, Episode VII: Linear Algebra and Its Applications
  Key Topic: Hamming Codes

  
• 3. Adjacency Matrices

  Linear Algebra, Episode 7: Applications

  Adjacency Matrices

  Linear Algebra, Episode VII: Linear Algebra and Its Applications
  Key Topic: Adjacency Matrices

  

Cheat Sheets

• R Cheat Sheet
• Python Cheat Sheet

Key Topics

• 2. Magnetic Pull

  Linear Algebra, Episode 8: Eigenanalysis

  Magnetic Pull

  Linear Algebra, Episode VIII: Eigenanalysis
  Key Topic: Magnetic Pull

  
• 3. Eigenvectors of Diagonalizable Matrices

  Linear Algebra, Episode 8: Eigenanalysis

  Eigenvectors of Diagonalizable Matrices

  Linear Algebra, Episode VIII: Eigenanalysis
  Key Topic: Eigenvectors of Diagonalizable Matrices

  
• 4. The “Spectral Theorem”

  Linear Algebra, Episode 8: Eigenanalysis

  The “Spectral Theorem”

  Linear Algebra, Episode VIII: Eigenanalysis
  Key Topic: The “Spectral Theorem”

  
• 5. The “Natural” Basis

  Linear Algebra, Episode 8: Eigenanalysis

  The “Natural” Basis

  Linear Algebra, Episode VIII: Eigenanalysis
  Key Topic: The “Natural” Basis

  
• 6. Eigenvectors in R

  Linear Algebra, Episode 8: Eigenanalysis

  Eigenvectors in R

  Linear Algebra, Episode VIII: Eigenanalysis
  Key Topic: Eigenvectors in R

  
• 7. Eigenvectors in Python

  Linear Algebra, Episode 8: Eigenanalysis

  Eigenvectors in Python

  Linear Algebra, Episode VIII: Eigenanalysis
  Key Topic: Eigenvectors in Python

  

Key Topics

• 1. Video Compression

  Linear Algebra, Episode 9: Eigenapplications

  Video Compression

  Linear Algebra, Episode IX: Eigenapplications
  Key Topic: Video Compression

  
• 2. Markov Chains

  Linear Algebra, Episode 9: Eigenapplications

  Markov Chains

  Linear Algebra, Episode IX: Eigenapplications
  Key Topic: Markov Chains

  
• 3. PageRank

  Linear Algebra, Episode 9: Eigenapplications

  PageRank

  Linear Algebra, Episode IX: Eigenapplications
  Key Topic: PageRank