Learning Outcomes for 3450:410/510 Advanced Linear Algebra
Students are expected to be able to

  • Understand and apply fundamental concepts of linear algebra, including vector space, basis, dimension, linear transformation, eigenspace, inner product.
  • Construct a basis for a vector space
  • Solve a system of linear equations
  • Diagonalize a square matrix under appropriate conditions
  • Construct an orthonormal basis for an inner product space
  • Find the Jordan canonical form of a square matrix
  • Construct rigorous mathematical proofs and counterexamples