MAT 2233
Linear Algebra. (3-0) 3 Credit Hours.
University of Texas at San Antonio · UGRD · Fall 2026
Catalog description
Prerequisite: MAT 1223 (or MAT 1224 in previous catalogs). Topics include systems of linear equations, vectors, and matrices; methods of solving linear systems such as Gauss-Jordan elimination and Cramer's Rule; matrix operations including addition, multiplication, and inversion; properties of matrix rank and determinants; linear transformations and their matrix representations; subspaces, bases, and dimension; vector spaces and their subspaces; column space and null space; the rank-nullity theorem; dot products, orthogonality, and orthogonal projections; orthonormal bases and the Gram-Schmidt process; least-squares solutions; determinants and their geometric interpretation; eigenvalues, eigenvectors, characteristic equations, eigenspaces, and diagonalization. Generally Scheduled Location: Main Campus, Internet. Course Fee: LRS1 $46.20; STSI $21.60; DL01 $75.
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