VMLC
Release-50

MATH 304 - Linear Algebra

MATH 304 - Linear Algebra teaser image

Introductory course in linear algebra covering abstract ideas of vector space and linear transformation as well as models and applications of these concepts, such as systems of linear equations, matrices and determinants.

Linear Algebra Workshop

The VMLC also has a Linear Algebra Workshop that you can use for additional resources. The workshops focuses on the Linear Algebra topics necessary for Math 308, but almost all of them are also useful for Math 304.

Linear Algebra Workshop


Finishing in Fall 2026

We are currently working on this course, and we will be adding the rest of the sections and videos in Fall 2026.

Sections

Module 1

Section 1.1 - Introduction to Linear Systems Section 1.2 - Row Echelon Form Section 1.3 - Matrix Arithmetic

Module 2

Section 1.4 - Matrix Algebra Section 1.5 - Elementary Matrices

Module 3

Section 2.1 - The Determinant of a Matrix Section 2.2 - Properties of Determinants

Module 4

Section 3.1 - Vector Space Definition and Examples Section 3.2 - Subspaces Section 3.3 - Linear Independence

Module 5

Section 3.4 - Basis and Dimension

Module 6

Section 3.5 - Change of Basis Section 3.6 - Row Space and Column Space

Module 7

Section 4.2 - Matrix Representations of Linear Transformations
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