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Vector Spaces (Handwritten notes)

Name Vector Spaces (Handwritten notes)- Lecture Notes
Author(s) Atiq ur Rehman
Pages 58 pages
Format PDF (see Software section for PDF Reader
Size PDF: 3.32MB

CONTENTS OR SUMMARY:

  • Rings; definition and examples
  • Field, definition and examples
  • Vector spaces, definition and examples
  • Subspaces, definition and related theorems
  • Linear sum, definition and related theorems
  • Homomorphism, kernel, linear combination
  • Linear span, related theorem
  • Finite dimensional vector space, linear dependent and independent, related theorem
  • Basis of a vector space and related theorems
  • Quotient space and related theorems
  • Internal direct sum, external direct sum, vector space homomorphism and related theorems
  • Hom(V,W) and related theorems
  • Dual spaces and related theorems
  • Null space, nullity and related theorems
  • Eigen value, eigen vector, examples and related theorems
  • Characteristic polynomial/equation/matrix, examples and related theorem
  • Calay Hamilton theorem
  • Minimum polynomial (or minimal polynomial) and related theorems
  • Similar matrices and related theorems


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