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Trenkler, Dietrich; Trenkler, Gotz – International Journal of Mathematical Education in Science and Technology, 2004
In this note 4 x 4 most-perfect pandiagonal magic squares are considered in which rows, columns and the two main, along with the broken, diagonals add up to the same sum. It is shown that the Moore-Penrose inverse of these squares has the same magic property.
Descriptors: Mathematics Activities, Matrices, College Mathematics, Mathematical Formulas
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Elzaidi, S. M. – International Journal of Mathematical Education in Science & Technology, 2005
In this note, we give a method for finding the inverse of a three by three magic square matrix without using the usual methods for finding the inverse of a matrix. Also we give a method for finding the inverse of a three by three magic square matrix whose entries are also matrices. By using these ideas, we can construct large matrices whose…
Descriptors: Mathematical Concepts, Matrices, Mathematics Education, Mathematical Logic
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Koeber, Martin; Schafer, Uwe – International Journal of Mathematical Education in Science & Technology, 2006
An easy way to present the uniqueness of the square root of a positive semidefinite matrix is given.
Descriptors: Transformations (Mathematics), Matrices, Mathematical Logic, Equations (Mathematics)
Neumann, Richard; Roberts, Keith – 1996
In response to an anticipated decrease in the number of associate dean positions at Wisconsin's Milwaukee Area Technical College, a model was developed to quantify the workload associated with the administration of an academic division. First, factors affecting the instructional division workload were identified, including the numbers of full- and…
Descriptors: Academic Deans, Administrator Responsibility, College Administration, Faculty Workload