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