solving is magic function

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KayLynn
KayLynn on 17 Oct 2013
Commented: Azzi Abdelmalek on 18 Oct 2013
How to write a function that will take a matrix m as an input and return true only if M is a magic square

Answers (2)

Azzi Abdelmalek
Azzi Abdelmalek on 17 Oct 2013
Create a magic matrix with magic function then use isequal to compare your two matrices
  2 Comments
Walter Roberson
Walter Roberson on 17 Oct 2013
Edited: Walter Roberson on 17 Oct 2013
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
Azzi Abdelmalek on 18 Oct 2013
Ok, I ignore it

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Walter Roberson
Walter Roberson on 17 Oct 2013
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.
  1 Comment
Azzi Abdelmalek
Azzi Abdelmalek on 18 Oct 2013
Edited: Azzi Abdelmalek on 18 Oct 2013
sum(A,1) ans sum(A,2) are equal and constant

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