Linear Algebra I

Course purpose

The aim of this course is to provide essential mathematical knowledge necessary to further study mathematics and other sciences at university level.

Content

Linear systems, Gaussian elimination, matrices, vectors, linear maps, matrix multiplication, the inverse of a linear map, subspaces of Rn, image and kernel, linear independence, bases, dimension, coordinates, orthogonal bases, the Gram‒Schmidt algorithm, QR factorization, orthogonal complement, orthogonal maps, least square approximations.

Prerequisites

High-school level mathematics.

Additional information

Detailed homepages for this course including materials and videos.



This lecture is provided under Creative Commons Attribution-Non Commercial-ShareAlike 4.0 International.

---