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MATH 125: Elementary Linear Algebra eText

MATH 125: Elementary Linear Algebra eText

Electronic Textbook
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MATH 125: Elementary Linear Algebra eText
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Chapter 1: Linear Programming in the Plane

  • Section 1: Linear inequalities in the plane
  • Section 2: Solving linear programs in the plane
  • Section 3: Applications of linear programming

Chapter 2: Matrices and Linear Systems

  • Section 1: Row operations and Gaussian elimination
  • Section 2: Reduced row echelon form
  • Section 3: Consistency and row rank
  • Section 4: Euclidean 3-space
  • Section 5: Linear programming and the simplex algorithm
  • Section 6: Simplex algorithm - additional considerations

Chapter 3: Introduction to Vectors

  • Section 1: Vectors and lines in 2D and nD
  • Section 2: Dot products and orthogonality
  • Section 3: Linear combinations

Chapter 4: Matrices and Applications

  • Section 1: Matrix operations
  • Section 2: The inverse of a matrix
  • Section 3: The Leontief open model
  • Section 4: Markov analysis

Chapter 5: Production Schedule Analysis (Vector Spaces)

  • Section 1: Three fundamental examples
  • Section 2: Spanning sets and geometry
  • Section 3: Subspaces
  • Section 4: Linear dependence and independence
  • Section 5: Bases and basis selection
  • Section 6: Approximations (projections)
  • Section 7: Approximations (least squares)

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