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Introduction to Linear Algebra

Hisashi Yokota

• Contents
• Vector Space
  • Geometric vector and Vector space
  • Inner Product Space
  • Linearly independent, Linearly dependent
  • Subspace and Dimension
  
  
• Matrix and Determinant
  • Matrices
  • Elementary Row Operation
  • System of linear equations and Inverse matrix
  • Matrix Factorization
  • Determinant
  
  
• Linear Mapping
  • Linear Mapping
  • Matrix Transformation and Eigen value
  
  
• Diagonalization of Matrix
  • Diagonalization of Matrix
  • Normal Matrix
  
  
• Jordan Canonical Forms
  • Nilpotent Matrix
  • Jordan Cannonical Form
  
  
• Solution
• Index
• About this document ...