Fundamental ideas about vector spaces and subspaces, bases and dimension, linear transformations and matrices are studied in more depth than in MATH 2120. Topics include matrix diagonalization and its applications, invariant subspaces, inner product spaces and Gram-Schmidt orthogonalization, linear operators of various special types (normal, self-adjoint, unitary, orthogonal, projections), and the finite-dimensional spectral theorem. Prerequisite: MATH 1300 or MATH 2120 or MATH 2121 all with a minimum grade of C.
Fundamental ideas about vector spaces and subspaces, bases and dimension, linear transformations and matrices are studied in more depth than in MATH 2120. Topics include matrix diagonalization and its applications, invariant subspaces, inner product spaces and Gram-Schmidt orthogonalization, linear operators of various special types (normal, self-adjoint, unitary, orthogonal, projections), and the finite-dimensional spectral theorem. Prerequisite: MATH 1300 or MATH 2120 or MATH 2121 all with a minimum grade of C.
