(1.1 hours to learn)


A subspace is a subset of a vector space which is itself a vector space. Examples include spans of sets of vectors and solution sets to linear equations of the form Ax = 0.


This concept has the prerequisites:

Core resources (read/watch one of the following)


MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
Author: Gilbert Strang


Supplemental resources (the following are optional, but you may find them useful)


A First Course in Linear Algebra (2012)
A linear algebra textbook with proofs.
Author: Robert A. Beezer
Additional dependencies:
  • vector spaces
  • Gaussian elimination
  • complex vectors and matrices


See also

  • Subspaces are used to define the rank of a matrix , an important concept in solving linear systems.