Linear Algebra

1. Why Linear Algebra?
   ~ JaspreetBlogs.in
2. Vectors & Matrices
   
   1. What are vectors? What is Linear Combination?
      
      • Ch1 - Introduction to Linear Algebra 5e ~ Gilbert Strang
   2. Vectors & Linear Equations
      • Ch2 - Introduction to Linear Algebra 5e ~ Gilbert Strang
   3. What is System of Linear Equations?
      • Solving Linear Systems & Gaussian Elimination ~ Math With Richard
   4. How to solve Systems with Gauss Elimination?
      • Gaussian Elimination ~ Math With Richard
      • Elimination with Matrices ~ MIT 18.06SC
   5. Reduced Row Echelon Form
      
      • Gauss-Jordan and Reduced Row Echelon Form ~ Math With Richard
      • Gaussian Elimination & Row Echelon Form ~ The Organic Chemistry Tutor
      • Lecture Notes on GAUSS-JORDAN ELIMINATION ~ Jacob Bernstein Lecture
   6. Linear Dependence & Independence
      
      • Equivalent Systems, Rank, & Row Space - Linear Algebra (full course) - lecture 7a (of 27)
      • Gaussian Elimination & Row Echelon Form ~ The Organic Chemistry Tutor
      • Lecture Notes on GAUSS-JORDAN ELIMINATION ~ Jacob Bernstein Lecture
   7. Vector Spaces & Affine Spaces
      ~ Jacob Bernstein Lecture |
3. Analytic Geometry
   
   1. Norms & Orthogons
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   2. Linear Transformation & Matrices
      ~ Jacob Bernstein
4. Matrix Decomposition
   
   • Eigenvalues & Eigenvectors
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   • Singular Value Decomposition
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5. Gradients, Backpropagation & AutoDiff
   
   • Partial Differentiation
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   • Gradient of Vectors & Matrices
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   • Backpropagation & Automatic Differentiation
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   • High Order Derivatives
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   • Linearization & Multivariate Taylor Series
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