Math 2.0

Resources / course

Linear Algebra WC67MP70MJ

URIm2://res/WC67MP70MJ
Kindcourse
CreatorsPranav Haridas (instructor)
Date2020-01-27
Scopein

Expressions

e1: edition

Languageen
Date2020-01-27
Contents
  • part 1: Week 1
  • session 1: Vector Spaces
  • session 2: Examples of Vector Spaces
  • session 3: Vector Subspaces
  • session 4: Linear Combinations and Span
  • part 2: Week 2
  • session 5: Linear Independence
  • session 6: Basis
  • session 7: Dimension
  • session 8: Replacement theorem consequences
  • part 3: Week 3
  • session 9: Rank Nullity
  • session 10: Linear Transformations
  • session 11: Linear Transformation Basis
  • session 12: Linear Transformation and Matrices
  • part 4: Week 4
  • session 13: Problem session
  • session 14: Linear Transformation and Matrices continued
  • session 15: Invertible Linear Transformations
  • session 16: Invertible Linear Transformations and Matrices
  • part 5: Week 5
  • session 17: Change of Basis
  • session 18: Product of Vector Spaces
  • session 19: Quotient Spaces
  • session 20: Dual Spaces
  • part 6: Week 6
  • session 21: Row operations
  • session 22: Rank of a Matrix
  • session 23: Inverting matrices
  • session 24: Determinants
  • part 7: Week 7
  • session 25: Problem Session
  • session 26: Diagonal Matrices
  • session 27: Eigenvectors and eigenvalues
  • session 28: Computing eigenvalues
  • part 8: Week 8
  • session 29: Characteristic ploynomia
  • session 30: Diagonalizibility
  • session 31: Multiplicity of eigenvalues
  • session 32: Invariant subspaces
  • part 9: Week 9
  • session 33: Complex Vector Spaces
  • session 34: Inner Product Spaces
  • session 35: Inner Product and Length
  • session 36: Orthogonality
  • session 37: Problem Session
  • part 10: Week 10
  • session 38: Problem Session
  • session 39: Orthonormal Basis
  • session 40: Gram Schmidt Orthogonalization
  • session 41: Orthogonal Complements
  • part 11: Week 11
  • session 42: Problem Session
  • session 43: Riesz Representation Theorem
  • session 44: Adjoint of a linear transformation
  • session 45: Properties of the adjoint
  • part 12: Week 12
  • session 46: Problem Session
  • session 47: Normal Operators
  • session 48: Self Adjoint Operators
  • session 49: Spectral Theorem

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