MATH-2418 Linear Algebra

This course Introduces and provides models for application of the concepts of vector algebra. Topics may include finite dimensional vector spaces and their geometric significance; representing and solving systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion; matrices; determinants; linear transformations; quadratic forms; eigenvalues and eigenvector; and applications in science and engineering. Lec 4, Cr 4

Credits

4

Prerequisite

MATH-2414

Outcomes

  1. Be able to solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion.
  2. Be able to carry out matrix operations, including inverses and determinants.
  3. Demonstrate understanding of the concepts of vector space and subspace.
  4. Demonstrate understanding of linear independence, span, and basis.
  5. Be able to determine eigenvalues and eigenvectors and solve problems involving eigenvalues.
  6. Apply principles of matrix algebra to linear transformations.
  7. Demonstrate application of inner products and associated norms.