Wikiversity

Linear algebra in plain view


Part I

edit

Systems of Linear Equations

edit
  • Introduction (pdf)
  • Row Reduction (A.pdf, B.pdf)
  • Matrices Operations (pdf)
  • Elementary Matrix (pdf)
  • Determinants (pdf)
  • LU Factorization (pdf)


Vector Spaces (I)

edit
  • Euclidean Vector Space (pdf)
  • Matrix Transformation (pdf)
  • General Vector Space (pdf)
  • Fundamental Matrix Spaces (pdf)
  • EigenSpaces of a Matrix (pdf)


  • Fundamental Spaces Note (H1.pdf)
  • Projection Theorem Note (H2.pdf)


q & a (pdf)



Inner Product Spaces

edit



Part II

edit

Systems of Linear Equations

edit
  • Solving Systems of Linear Equations (pdf)
  • Reduced Row-Echelon Form (pdf)
  • Types of Solution Sets
  • Homogeneous Systems of Equations
  • Nonsingular Matrices

Vectors

edit

Matrices

edit

Vector Spaces

edit
  • Vector Spaces
  • Subspaces
  • Linear Independence
  • Spanning Sets
  • Bases
  • Dimension
  • Properties of Dimension

Determinants

edit


Eigenvalues

edit


Linear Transformations

edit


Representations

edit



go to [ Electrical_&_Computer_Engineering_Studies ]

edit
Retrieved from "https://en.wikiversity.org/w/index.php?title=Linear_algebra_in_plain_view&oldid=2687989"