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