The Moore-Penrose inverse of block magic rectangles

Y. R. Hakopian, A. N. Eloyan

Research output: Contribution to journalArticle

Abstract

As is known, a semi-magic square is an n n matrix having the sum of entries in each row and each column equal to a constant. This note generalizes this notion and introduce a special class of block matrices called block magic rectangles. It is proved that the Moore-Penrose inverse of a block magic rectangle is also a block magic rectangle.

Original languageEnglish (US)
Pages (from-to)1093-1102
Number of pages10
JournalInternational Journal of Mathematical Education in Science and Technology
Volume38
Issue number8
DOIs
StatePublished - Jan 2007
Externally publishedYes

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Moore-Penrose Inverse
Rectangle
Magic square
Block Matrix
Generalise

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics (miscellaneous)

Cite this

The Moore-Penrose inverse of block magic rectangles. / Hakopian, Y. R.; Eloyan, A. N.

In: International Journal of Mathematical Education in Science and Technology, Vol. 38, No. 8, 01.2007, p. 1093-1102.

Research output: Contribution to journalArticle

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