Abstract
A generalized magic square of order n is an n by n array of numbers whose rows, columns, and the two diagonals sum to k, called the magic sum. In the first part of this paper, we give several elementary properties of generalized magic squares of order 3. In the second part we prove that any generalized magic square of order 3 is a -t EP element if and only if the magic sum S * of the adjoint matrix A * is a non-zero number. As a consequence, the group inverse of generalized magic square is also a generalized-magic square, when the adjoint matrix has the magic sum non-zero.
Original language | English |
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Title of host publication | Trends and challenges in applied mathematics. Conference proceedings of the international conference, ICTCAM 2007 |
Editors | Gavriil Paltineanu, Emil Popescu |
Publisher | Matrix Rom, Bucharest |
ISBN (Print) | 978-973-755-283-9 |
Publication status | Published - 2007 |
Event | Trends and challenges in applied mathematics - Bucharest, Romania Duration: Jun 20 2007 → … |
Conference
Conference | Trends and challenges in applied mathematics |
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Period | 6/20/07 → … |