Engineering Linear Algebra

Undergraduate course, IE-15570, 2022


Description

  • Engineering Linear Algebra (IE-15570) will focus on basic concepts and theories of linear algebra with engineering applications.
  • Basic topics covered in this class include basic vector and matrix representations, determinant, solution of a system of linear equations, independence/dependence concepts, vector space/subspace, etc.
  • In addition, we will also study various applied topics such as linear transformation, eigen-value/eigen-vector, diagonalization, inner product space, Gram-Schmidt orthogonalization, least squares problems, etc.

  • The popular R statistical language will be handled in this class.

Objectives

Upon successful completion of this course, students will be able to:

  1. Understand basic concepts on vector and matrix representation.
  2. Solve a system of linear equations using the linear algebra.
  3. Diagonalize a matrix.
  4. Decompose a matrix with a diagonal matrix and eigen-vectors.
  5. Incorporate the linear algebra technique into various engineering problems.

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