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ICMC 2018/19 Round 1, Problem 3

Source: Imperial College Mathematics Competition 2018/19 - Round 1

August 7, 2020
college contests

Problem Statement

A ‘magic square’ of size nn is an n×nn\times n array of real numbers such that all the rows, all the columns and the two main diagonals have the same sum. Determine the dimension, over R\mathbb{R}, of the vector space of n×nn\times n magic squares.\\
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