Advanced Linear Algebra

1 Course Unit

Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. Also Offered As: AMCS 5141 Mutually Exclusive: MATH 3140 Prerequisite: MATH 2400 1 Course Unit