Kernel of a matrix
From Encyclopedia of Mathematics
A matrix of size
over a field
defines a linear function
between the standard vector spaces
and
by the well-known formula
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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,
).
References
[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: http://encyclopediaofmath.org/index.php?title=Kernel_of_a_matrix&oldid=47489
Kernel of a matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Kernel_of_a_matrix&oldid=47489
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article