Kernel of a matrix

From Encyclopedia of Mathematics
Revision as of 16:57, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

A matrix of size over a field defines a linear function between the standard vector spaces and by the well-known formula

The kernel of the matrix is the kernel of the linear mapping . The kernel of (respectively, of ) is also called the null space or nullspace of (respectively, ).


[a1] G. Strang, "Linear algebra and its applications" , Harcourt–Brace–Jovanovich (1988) pp. 92
[a2] H. Schneider, G.P. Barker, "Matrices and linear algebra" , Dover, reprint (1989) pp. 215
[a3] B. Noble, J.W. Daniel, "Applied linear algebra" , Prentice-Hall (1977) pp. 157
[a4] Ch.G. Cullen, "Matrices and linear transformations" , Dover, reprint (1990) pp. 187
How to Cite This Entry:
Kernel of a matrix. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article