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May 03, 2026
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Undergraduate Catalog 2026-2027
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MAT 241 Linear Algebra Credits: (3)
This elective for Engineering, Computer Science, and Liberal Arts and Sciences: Mathematics and Science majors introduces students to the deductive style of higher-level mathematics courses. Topics include systems of linear equations, matrices, real vector spaces, subspaces, linear independence, basis, dimension, row and column space of a matrix, linear transformations, kernel, range, matrix of a linear transformation, determinants, eigenvalues, and eigenvectors, and Gram-Schmidt Process. Prerequisite(s): A grade of C or better in Calculus I (MAT 161 ) or equivalent, or permission of instructor.
Designation(s): Liberal Arts
Learning Outcomes
- Solve systems of linear equations and applications of systems using matrices.
- Perform standard operations with matrices (including factoring, finding inverses, and finding eigenvalues/eigenvectors) and apply and prove properties of those operations.
- Evaluate the determinant of a matrix using elementary operations, and apply and prove properties of determinants.
- Find the Euclidean inner product and an orthonormal basis (using Gram-Schmidt) of inner product spaces.
- Perform linear transformations and find the kernel, range, and standard matrix of a given linear transformation.
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