An n×n magic square is a square array of numbers (n > 1) such that the sum of every row, of every column, and of the two diagonals is the same. For which n is there a magic square whose entries are consecutive positive integers with a sum of 2015? For each such n, what are the largest and smallest entries in the square?
An n×n magic square is a square array of numbers (n > 1) such that the sum of every row, of every column, and of the two diagonals is the same. For which n is there a magic square whose entries are consecutive positive integers with a sum of 2015? For each such n, what are the largest and smallest entries in the square?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 9AEXP
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An n×n magic square is a square array of numbers (n > 1) such that the sum of every row, of
every column, and of the two diagonals is the same. For which n is there a magic square whose
entries are consecutive positive integers with a sum of 2015? For each such n, what are the
largest and smallest entries in the square?
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