Linear Equations

Linear Equations

Dr Peyam via YouTube Direct link

Elementary Matrix

1 of 22

1 of 22

Elementary Matrix

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Linear Equations

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  1. 1 Elementary Matrix
  2. 2 Unnecessary operation ?
  3. 3 What is Rank?
  4. 4 Outer Product
  5. 5 Fundamental Rank Theorem
  6. 6 Rank A^T = Rank A
  7. 7 Product of elementary matrices
  8. 8 LU factorization
  9. 9 Inverse of matrix
  10. 10 Invertible matrix
  11. 11 Inverse Transformation
  12. 12 Homogeneous and Particular Solution
  13. 13 Gaussian Elimination
  14. 14 Why Gaussian Elimination works
  15. 15 Row Reduction
  16. 16 Uniqueness of Reduced Row Echelon Form
  17. 17 Nul A Col A Rank A
  18. 18 Basis and dimension
  19. 19 Existence of Solutions
  20. 20 Systems and Pivots
  21. 21 Basis Extension
  22. 22 Recovering a matrix

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