# MATH 260 - Linear Algebra

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 260. A Student Learning Outcome is a measurable outcome statement about what a student will think, know, or be able to do as a result of an educational experience. Course Measurable Objectives focus more on course content, and can be considered to be smaller pieces that build up to the SLOs.

## Student Learning Outcomes (SLOs)

- Students can solve problems pertaining to the definitions of vector space, subspace, span, linear independence and dependence.
- Students can solve problems pertaining to the definitions of linear transformation, kernel, and range.
- Students can solve problems pertaining to eigenvalues and eigenvectors.

## Course Measurable Objectives (CMOs)

- Compute matrix algebra operations, row operations for linear systems, and the methods of Gaussian elimination and matrix inversion for solving linear systems.
- Evaluate determinants using cofactors and row operations.
- Demonstrate properties of determinants and matrix inversion using cofactors.
- Solve problems pertaining to the definitions of vector space, subspace, span, linear independence and dependence, basis and dimension, row and column space, and inner product space.
- Demonstrate use of Gram-Schmidt process for orthogonalization.
- Solve problems pertaining to the definitions of linear transformation, inverse transformation, kernel and range, and matrices of general linear transformations.
- Compute matrix representations of linear transformations.
- Solve problems pertaining to eigenvalues and eigenvectors.
- Demonstrate diagonalization of square matrices with the special case of orthogonal diagonalization of symmetric matrices.