Linear Algebra

1. Introduction to Linear Algebra and Matrices
2. Matrix Operations
3. Row-Echelon Form
4. Row-Echelon Form Versus Reduced Row Echelon Form | Gaussian Elimination Verses Gauss-Jordan Elimination | Solving Linear Systems
5. Proof | If A and B are Diagonal Matrices, then AB = BA
6. Introduction to Linear Maps (Linear Transformations)
7. Linear Maps: Kernel, Range, and the Rank Nullity Theorem
8. LU Factorization ▼

   1. Proof the of LU-Factorization of a Square Matrix
   2. Finding an LU-Factorization Using Elementary Matrices
   3. Finding an LU-Factorization Using the Multiplier Method
   4. Finding an LU-Factorization Using a Direct Method
   5. Solving Systems of Equations Using LU-Factorization
9. Go Back to Main Topics

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