Description:
Linear transformations on finite dimensional vector spaces. Invariant subspaces, rank, eigenvalues and eigenvectors. Canonical forms. Bilinear and multilinear forms.
Description:
Linear transformations on finite dimensional vector spaces. Invariant subspaces, rank, eigenvalues and eigenvectors. Canonical forms. Bilinear and multilinear forms.
Credits:
Total Credits:
Credits: 3 Lecture/Recitation/Discussion Hours:3
Not open to students with credit in:
MTH 415
Description:
Linear transformations on finite dimensional vector spaces. Invariant subspaces, rank, eigenvalues and eigenvectors. Canonical forms. Bilinear and multilinear forms.
Credits:
Total Credits:
Credits: 3 Lecture/Recitation/Discussion Hours:3
Not open to students with credit in:
MTH 415
Description:
Linear transformations on finite dimensional vector spaces. Invariant subspaces, rank, eigenvalues and eigenvectors. Canonical forms. Bilinear and multilinear forms.
Credits:
Total Credits:
Credits: 3 Lecture/Recitation/Discussion Hours:3
Not open to students with credit in:
MTH 415
Description:
Abstract vector spaces and their duals. Minimal polynomials, invariant subspaces, diagonalization, and adjoints of linear transformations. Inner products, normal and unitary operators. Applications.