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Linear algebra in plain view


Part I

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Systems of Linear Equations

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


Vector Spaces (I)

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  • 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

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Part II

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Systems of Linear Equations

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

Vectors

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Matrices

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Vector Spaces

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

Determinants

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Eigenvalues

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Linear Transformations

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Representations

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go to [ Electrical_&_Computer_Engineering_Studies ]

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