### 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 language | English (US) |
---|---|

Pages (from-to) | 1093-1102 |

Number of pages | 10 |

Journal | International Journal of Mathematical Education in Science and Technology |

Volume | 38 |

Issue number | 8 |

DOIs | |

State | Published - Jan 2007 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Applied Mathematics
- Mathematics (miscellaneous)

### Cite this

*International Journal of Mathematical Education in Science and Technology*,

*38*(8), 1093-1102. https://doi.org/10.1080/00207390600720607

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

Research output: Contribution to journal › Article

*International Journal of Mathematical Education in Science and Technology*, vol. 38, no. 8, pp. 1093-1102. https://doi.org/10.1080/00207390600720607

}

TY - JOUR

T1 - The Moore-Penrose inverse of block magic rectangles

AU - Hakopian, Y. R.

AU - Eloyan, A. N.

PY - 2007/1

Y1 - 2007/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36248971699&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36248971699&partnerID=8YFLogxK

U2 - 10.1080/00207390600720607

DO - 10.1080/00207390600720607

M3 - Article

VL - 38

SP - 1093

EP - 1102

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

SN - 0020-739X

IS - 8

ER -