M605 Matrix Theory (3 cr.)
This course provides an introduction to abstract vector spaces and linear transformations, including basis and dimension, inner product spaces, determinants, eigenvalues and eigenvectors, matrices, and canonical forms.
Upon completion of the course, students are expected to be able to do the following:
- Compute basis and dimension of vector spaces, and determinants of matrices. (3.c)
- Apply theory and techniques to answer questions about eigenvalues and eigenvectors. (3.a)
- Determine canonical forms and factorizations of matrices. (1.b)
- Prove theorems about eigenvalues, eigenvectors, canonical forms, factorizations, and inner products. (4.c)
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