Linear Algebra

A set of orthogonal vectors in an inner product space.

Gram–Schmidt process which is a method for orthonormalising a set of vectors in an inner product space. (Image from public domain.)


MIT Course Number


As Taught In

Fall 2013



Cite This Course

Course Features

Course Description

This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices. Compared with 18.06 Linear Algebra, more emphasis is placed on theory and proofs.

OCW Scholar Version Question_svt logo

Other OCW Versions

Archived versions: Question_avt logo

Vogan, David. 18.700 Linear Algebra, Fall 2013. (MIT OpenCourseWare: Massachusetts Institute of Technology), (Accessed). License: Creative Commons BY-NC-SA

For more information about using these materials and the Creative Commons license, see our Terms of Use.