MATH 340: Elementary Matrix and Linear Algebra

Fall 2024 · UW–Madison

This collection connects matrix calculations with the structure of vector spaces and linear transformations. It includes topic notes, section worksheets, assessments, and a chapter-organized textbook reference.

Topics

• Linear systems, matrix operations, and determinants
• Subspaces, bases, dimension, and rank
• Eigenvalues, diagonalization, and coordinate changes
• Inner products, orthogonality, and projections

Notes

• Weekly overview
• Topic notes
• Worksheets
• Quizzes
• Exam questions, answers, and review
• Textbook reference
• Course details and personal reflection

Resources

The legacy topic notes draw on UC Berkeley Math 54. The textbook reference is W. Keith Nicholson’s Linear Algebra with Applications, Open Edition, version 2021 revision A; its original attribution and license notices are preserved in front-matter.