id: 02319482
dt: a
an: 1998a.00423
au: Lay, David C.
ti: Subspaces and Echelon forms.
so: Carlson, D. et al., Resources for teaching linear algebra. Mathematical
Association of America, Washington, DC (ISBN 0-88385-150-4). 201-207
(1997).
py: 1997
pu: Mathematical Association of America, Washington, DC
la: EN
cc: H65
ut:
ci:
li:
ab: In this paper, the author points out first that every subspace of $R^n$ can
be written in both an explicit form (as a span of a set of vectors) and
an implicit form (as the solution set of a homogeneous system of linear
equations). Each form has its advantages ‒ and thus it would be
useful for students to be able to convert either form to the other. The
author presents five algorithms, all involving row reduction, which
give the instructor and (through the instructor) the student methods to
solve a variety of related problems of this sort.
rv: