solving is magic function

Question

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How to write a function that will take a matrix m as an input and return true only if M is a magic square

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Answer 1

Azzi Abdelmalek 2013-10-17

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Create a magic matrix with magic function then use isequal to compare your two matrices

Walter Roberson 2013-10-17

编辑：Walter Roberson 2013-10-17

Note: as magic() generates randomly, you will need to generate all of the magic squares of that size and compare each of them to the original matrix.

Azzi Abdelmalek 2013-10-18

Ok, I ignore it

Answer 2

Walter Roberson 2013-10-17

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One test: calculate the mean of the numbers in the array. If it is not an integer, the array cannot be a magic square.

Another test: an array which is square and has all elements identical is a magic square.

A third test: magic squares are always two dimensional, not vectors and not three or more dimensions.

Azzi Abdelmalek 2013-10-18

编辑：Azzi Abdelmalek 2013-10-18

sum(A,1) ans sum(A,2) are equal and constant