Prep 2011 workshop Linear Algebra

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Preliminary Topic List

  • Vectors
    • Geometric objects - lines and planes
  • Matrix operations and algebra
    • Determinant
    • Elementary Matrices
    • LU/QR
  • Elimination
    • Systems of equations
    • Gaussian elimination
  • Vector Space Preliminaries
    • Span
    • linear independence
    • basis and orthogonal basis
    • row space
    • column space
    • null space
    • dimension
    • geometric examples
  • Euclidean vector spaces
  • Linear transformations
  • Applications
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