MAST 234
Linear Algebra and Applications I
Fall 2026 · Linear Algebra & Applications I
Topics
- Linear systems and Gauss–Jordan elimination
- Matrix operations, rank, row spaces and column spaces
- Homogeneous systems and null spaces
- Linear dependence and independence
- Determinants and matrix inverses
- Linear transformations and their matrices
- Abstract vector spaces and subspaces
- Bases, dimension and coordinate changes
- Rank–nullity theorem and similar matrices
- Complex numbers and the fundamental theorem of algebra
- Eigenvalues, eigenvectors and diagonalization
- Applications to dynamical systems
Readings
- W. Keith Nicholson. Linear Algebra with Applications. Open Texts by Lyryx. https://lyryx.com/wp-content/uploads/2018/01/Nicholson-OpenLAWA-2018A.pdf
- Lecture files and classwork files on Moodle.
Winter 2026 · MAST 234
Readings
- Linear Algebra with Applications, by W. Keith Nicholson, Open Texts by Lyryx.
Fall 2025 · MAST 234
Readings
- Linear Algebra with Applications, by W. Keith Nicholson, Open Texts by Lyryx.
- Ward Cheney and David Kincaid, Linear Algebra: Theory and Applications (edition not specified).
Winter 2024 · MAST 234
Readings
- Linear Algebra with Applications, by W. Keith Nicholson, Open Texts by Lyryx.
- Fred E. Szabo, Linear Algebra: An Introduction Using Maple, Academic Press.
- Ward Cheney and David Kincaid, Linear Algebra: Theory and Applications, any edition.
Fall 2023 · MAST 234
Readings
- Fred E. Szabo, Linear Algebra: An Introduction Using Maple, Academic Press.
Fall 2022 · MAST 234
Readings
- Fred E. Szabo, Linear Algebra: An Introduction Using Maple, Academic Press.
- W. Keith Nicholson, Linear Algebra with Applications, Open Texts by Lyryx.
Winter 2022 · MAST 234
Readings
- Linear Algebra, Theory and Applications, by W. Cheney & D. Kincaid, 2nd Edition. Publisher: Jones & Bartlett.
Fall 2021 · MAST 234
Readings
- Linear Algebra, Theory and Applications, by W. Cheney & D. Kincaid, 2nd Edition. Publisher: Jones & Bartlett.
Sources
- Course catalogue ↗2026–2027
- Syllabus or course outline ↗Fall 2026
- Historical course outline ↗Winter 2026
- Historical course outline ↗Fall 2025
- Historical course outline ↗Winter 2024
- Historical course outline ↗Fall 2023
- Historical course outline ↗Winter 2023
- Historical course outline ↗Fall 2022
- Historical course outline ↗Winter 2022
- Historical course outline ↗Fall 2021
- Fall 2026 outline. Explicitly no mandatory textbook; Nicholson is a complementary source for additional reading and practice.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.