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Linear Algebra: Course Outline EE MT-203

Linear Algebra is a branch of Mathematics which includes lines, planes and subspaces but it deals with properties of all common vector spaces

Course Outline

  • Systems of linear equations and their solutions
  • Matrices and matrix algebra
  • Inverse matrices
  • Determinants and permutations
  • Real n-dimensional vector spaces
  • Abstract vector spaces and their axioms
  • Linear transformations
  • Inner products (dot products)
  • Orthogonality
  • Cross products and their geometric applications
  • Subspaces
  • Linear independence
  • Bases for vector spaces
  • Dimension
  • Matrix rank
  • Eigenvectors
  • Eigenvalues
  • Matrix diagonalization
  • Computer graphics
  • Kirchoff’s laws
  • Linear regression (least squares)
  • Fourier series or differential equations

Text Books

Reference Books