An elementary treatment of general inner products

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

A typical first course on linear algebra is usually restricted to vector spaces over the real numbers and the usual positive-definite inner product. Hence, the proof that dim(S) + dim(S ) = dim(V) is not presented in a way that generalizes to non-positive?definite inner products or to vector spaces over other fields. In this note we give such a proof.

Original languageEnglish (US)
Pages (from-to)57-59
Number of pages3
JournalCollege Mathematics Journal
Volume42
Issue number1
DOIs
StatePublished - Jan 1 2011

ASJC Scopus subject areas

  • Mathematics(all)
  • Education

Fingerprint Dive into the research topics of 'An elementary treatment of general inner products'. Together they form a unique fingerprint.

  • Cite this