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Fall 2020
Mar 29, 2024
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Information Use this page to maintain syllabus information, learning objectives, required materials, and technical requirements for the course.

Syllabus Information
MA 35301 - Linear Algebra II
Associated Term: Fall 2020
Learning Outcomes: 1. Perform rigorous proofs using the definitions of vector space, subspace, linear combination of vectors, linear dependence and linear independence, bases and dimension. 2. Perform rigorous proofs using the definitions of linear transformation and the null space and range of a linear transformation. 3. Exhibit a clear understanding of the relationship between composition of linear transformation and matrix multiplication. 4. Understand elementary matrices and their use in describing the solution set of a system of linear equations. 5. Understand that the determinant function on n x n matrices with entries in a field F is a function that may be defined recursively, and may be uniquely defined as an alternating multilinear form which takes the identity matrix to 1. 6. Perform rigorous proofs involving eigenvalues and eigenvectors. 7. Understand and be able to apply conditions for a linear operator on a finite-dimensional vector space to be diagonalizable. 8. Preform calculations with Gram-Schmidt, least squares and related topics. 9. Students should be able to do rigorous proofs involving inner product spaces and related topics.
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