Linear Algebra

Linear Algebra

IIT Kanpur July 2018 via YouTube Direct link

noc20-ma54-lec23 - Linear Combination, Linear Independence and Dependence

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24 of 66

noc20-ma54-lec23 - Linear Combination, Linear Independence and Dependence

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Linear Algebra

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  1. 1 Intro - Linear Algebra
  2. 2 noc20-ma54-lec01_Notations, Motivation and Definition
  3. 3 noc20-ma54-lec02_Matrix: Examples, Transpose and Addition
  4. 4 noc20-ma54-lec03_Matrix Multiplication
  5. 5 noc20-ma54-lec04_Matrix Product Recalled
  6. 6 noc20-ma54-lec05_Matrix Product Continued
  7. 7 noc20-ma54-lec06_Inverse of a Matrix
  8. 8 noc20-ma54-lec07 - Introduction to System of Linear Equations
  9. 9 noc20-ma54-lec08 - Some Initial Results on Linear Systems
  10. 10 noc20-ma54-lec09 - Row Echelon Form (REF)
  11. 11 noc20-ma54-lec10 - LU Decomposition - Simplest Form
  12. 12 noc20-ma54-lec11 - Elementary Matrices
  13. 13 noc20-ma54-lec12 - Row Reduced Echelon Form (RREF)
  14. 14 noc20-ma54-lec13 - Row Reduced Echelon Form (RREF) Continued
  15. 15 noc20-ma54-lec14 - RREF and Inverse
  16. 16 noc20-ma54-lec15 - Rank of a matrix
  17. 17 noc20-ma54-lec16 - Solution Set of a System of Linear Equations
  18. 18 noc20-ma54-lec17 - System of n Linear Equations in n Unknowns
  19. 19 noc20-ma54-lec18 - Determinant
  20. 20 noc20-ma54-lec19 - Permutations and the Inverse of a Matrix
  21. 21 noc20-ma54-lec20 - Inverse and the Cramer's Rule
  22. 22 noc20-ma54-lec21 - Vector Spaces
  23. 23 noc20-ma54-lec22 - Vector Subspaces and Linear Span
  24. 24 noc20-ma54-lec23 - Linear Combination, Linear Independence and Dependence
  25. 25 noc20-ma54-lec24 - Basic Results on Linear Independence
  26. 26 noc20-ma54-lec25 - Results on Linear Independence Continued...
  27. 27 noc20-ma54-lec26 - Basis of a Finite Dimensional Vector Space
  28. 28 noc20-ma54-lec27 - Fundamental Spaces associated with a Matrix
  29. 29 noc20-ma54-lec28 - Rank - Nullity Theorem
  30. 30 noc20-ma54-lec29 - Fundamental Theorem of Linear Algebra
  31. 31 noc20-ma54-lec30 - Definition and Examples of Linear Transformations
  32. 32 noc20-ma54-lec31 - Results on Linear Transformations
  33. 33 noc20-ma54-lec32 - Rank-Nullity Theorem and Applications
  34. 34 noc20-ma54-lec33 - Isomorphism of Vector Spaces
  35. 35 noc20-ma54-lec34 - Ordered Basis of a Finite Dimensional Vector Space
  36. 36 noc20-ma54-lec35 - Ordered Basis Continued
  37. 37 noc20-ma54-lec36 - Matrix of a Linear transformation
  38. 38 noc20-ma54-lec37 - Matrix of a Linear transformation Continued...
  39. 39 noc20-ma54-lec38 - Matrix of Linear Transformations Continued...
  40. 40 noc20-ma54-lec40 -Inner Product Space
  41. 41 noc20-ma54-lec41 - Inner Product Continued
  42. 42 noc20-ma54-lec42 - Cauchy Schwartz Inequality
  43. 43 noc20-ma54-lec43 - Projection on a Vector
  44. 44 noc20-ma54-lec44 - Results on Orthogonality
  45. 45 noc20-ma54-lec45 - Results on Orthogonality
  46. 46 noc20-ma54-lec46
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