ELEMENTARY MATRIX AND LINEAR ALGEBRA
An introduction to linear algebra. Topics include matrix algebra, linear systems of equations, vector spaces, sub-spaces, linear dependence, span, basis, rank of matrices, determinants, linear transformations, coordinate representations, kernel, range, eigenvalues and eigenvectors, diagonalization, inner products and orthogonal vectors, symmetric matrices. Covers linear algebra topics in greater depth and detail than MATH 320 . Formal techniques in mathematical argument [ MATH 341 ] not covered.
Topics
- matrix algebra
- linear systems of equations
- vector spaces
- sub-spaces
- linear dependence
- span
- basis
- rank of matrices
- determinants
- linear transformations
- coordinate representations
- kernel
- range
- eigenvalues and eigenvectors
- diagonalization
- inner products and orthogonal vectors
- symmetric matrices
Topics explicitly listed in official catalogue description
Prerequisites & course information
Requisites: MATH 222 . Not open to students with credit for MATH 341 , 345 , or 375 Course Designation: Core GenEd - Natural Science & Wellness + Lab Breadth - Natural Science Level - Advanced L&S Credit - L&S Liberal Arts and Science Repeatable for Credit: No Last Taught: Fall 2026 Learning Outcomes: 1. Recall and state the formal definitions, properties, and theorems associated to elementary linear algebra (e.g., matrix, eigenvector, rank, linear independence, vector space, etc.). Audience: Undergraduate 2. Verify if a mathematical object has a given property used in elementary linear algebra (e.g., that a matrix is invertible, that a set is a vector subspace, that a vector is an eigenvector, etc.). Audience: Undergraduate 3. Check the premises of theorems used in elementary linear algebra in order to apply their conclusions (e.g., that a given matrix has zero determinant and therefore cannot be inverted). Audience: Undergraduate 4. Resolve algebraic statements related to elementary linear algebra through appropriate computations. Audience: Undergraduate 5. Express informal mathematical arguments in English using appropriate mathematical terminology and notation. Audience: Undergraduate Learning Outcomes: 1. Recall and state the formal definitions, properties, and theorems associated to elementary linear algebra (e.g., matrix, eigenvector, rank, linear independence, vector space, etc.). Audience: Undergraduate 2. Verify if a mathematical object has a given property used in elementary linear algebra (e.g., that a matrix is invertible, that a set is a vector subspace, that a vector is an eigenvector, etc.). Audience: Undergraduate 3. Check the premises of theorems used in elementary linear algebra in order to apply their conclusions (e.g., that a given matrix has zero determinant and therefore cannot be inverted). Audience: Undergraduate 4. Resolve algebraic statements related to elementary linear algebra through appropriate computations. Audience: Undergraduate 5. Express informal mathematical arguments in English using appropriate mathematical terminology and notation. Audience: Undergraduate
Sources
- Course catalogue ↗2026-2027