id: 06012437
dt: j
an: 2012b.00834
au: Dobbs, David E.
ti: On rank and nullity.
so: Int. J. Math. Educ. Sci. Technol. 43, No. 2, 271-283 (2012).
py: 2012
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: H65
ut: matrices; field; row rank; column rank; nullity; system of linear
equations; Cramer’s rule; determinants
ci:
li: doi:10.1080/0020739X.2011.582181
ab: Summary: This note explains how Emil Artin’s proof that row rank equals
column rank for a matrix with entries in a field leads naturally to the
formula for the nullity of a matrix and also to an algorithm for
solving any system of linear equations in any number of variables. This
material could be used in any course on matrix theory or linear
algebra.
rv: