Latin Square

If I was given two matrices X and Y of any size, what should my approach be to test that the superimposed X,Y matrix is a true Latin Square and that every pair in the resulting Matrix is a unique pair?

Any advice welcome.

[Image Analyst]

How are you superimposing the two matrices? Latin squares can be any size, though usually not too large. I'm not sure what you mean when you talk about pairs. In a 4 by 4 Latin Square for example, what is X, what is Y, and what is a "pair"?

[Andrew]

Andrew 3 minutes ago Delete

Andrew 1 minute ago Delete

if X = [1,2,3; 3,7,7; 9,1,2]

and Y = [4,2,5; 3,2,9; 6,1,2]

my resulting matrix would be

(1,4) (2,2) (3,5)

(3,3) (7,2) (7,9)

(9,6) (1,1) (2,2)

[Walter Roberson]

Those are both good examples of things that are *not* Latin Squares.

[Andrew]

that's true. I'm trying to write a function that takes two matrices as input and would determine if the new matrix formed by (X,Y) forms a Latin Square.

[Andrew]

I just quickly typed up a bad description of a matrix in order to get the format question answered I guess

[Andrew]

any advice? point me in the right direction? reading material etc?

[Image Analyst]

I don't even see how your "matrix" is even a matrix. To me it looks more like a 3 by 3 cell array where each cell in the cell array contains a 2 by 1 array of numbers.

[Image Analyst]

Did you check Wikipedia or the Internet for Latin Square discussions and explanations?

[Andrew]

Yes now I have done some research, I now understand Latin Square better. I should rephrase my question. I would like to input two n-by-n matrices, check if each is a Latin Square. After that, superimpose the matrices and check if that n-by-n cell array contains unique 2-by-1 arrays.

[Image Analyst]

What have you tried? Have you called unique() and seen if the length of the unique numbers is equal to the length of the rows (or columns)?