Linear algebra in plain view

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Part I[edit | edit source]

Systems of Linear Equations[edit | edit source]

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


Vector Spaces (I)[edit | edit source]

  • 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 | edit source]



Part II[edit | edit source]

Systems of Linear Equations[edit | edit source]

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

Vectors[edit | edit source]

Matrices[edit | edit source]

Vector Spaces[edit | edit source]

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

Determinants[edit | edit source]


Eigenvalues[edit | edit source]


Linear Transformations[edit | edit source]


Representations[edit | edit source]



go to [ Electrical_&_Computer_Engineering_Studies ]

External Links[edit | edit source]

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