infocobuild

UNSW - A First Course in Linear Algebra

UNSW - A First Course in Linear Algebra. This is a collection of video lectures on Linear Algebra given by UNSW's Professor NJ Wildberger. The lectures present the subject in a visual geometric way, with special orientation to applications and understanding of key concepts. The subject naturally sits inside affine algebraic geometry. Flexibility in choosing coordinate frameworks is essential for understanding the subject. Determinants also play an important role, and these are introduced in the context of multi-vectors.

Lecture 01 - Introduction to Linear Algebra

Lecture 02 - Geometry with Vectors

Lecture 03 - Center of Mass and Barycentric Coordinates

Lecture 04 - Area and Volume

Lecture 05 - Change of Coordinates and Determinants

Lecture 06 - Applications of 2x2 Matrices

Lecture 07 - More Applications of 2x2 Matrices

Lecture 08 - Inverting 3x3 Matrices

Lecture 09 - Three Dimensional Affine Geometry

Lecture 10 - Equations in Lines and Planes in 3D

Lecture 11 - Applications of 3x3 Matrices

Lecture 12 - Generalized Dilations and Eigenvalues

Lecture 13 - Solving a System of Linear Equations

Lecture 14 - More Row Reduction with Parameters

Lecture 15 - Applications of Row Reduction (Gaussian Elimination) I

Lecture 16 - Applications of Row Reduction II

Lecture 17 - Rank and Nullity of a Linear Transformation

Lecture 18 - The Geometry of a System of Linear Equations

Lecture 19 - Linear Algebra with Polynomials

Lecture 20 - Bases of Polynomial Spaces

Lecture 21 - More Bases of Polynomial Spaces

Lecture 22 - Polynomials and Sequence Spaces

Lecture 23 - Stirling Numbers and Pascal Triangles