I reached the chapter in my book on Magic Squares and I've prepared a list of questions that I'm hoping some of you might be able to help me with.
Q1: Let's call a square S. We know the the sum of each row in S is equal to a constant R, and the sum of each column is a constance C. Knowing this information, how can it be proen that S is a magic square (where R=C) ? I just don't see how we can form this conclusion without just saying that R=C, but apparently there must be a way that you can make it always such so that S is magic.
Q2:Using the same square S, lets analyze the first two rows or columns, r1 and r2 or c1 and c2, respectively. Should we swap the contents of r1 with r2, or c1 with c2's, we can form a new Square called X. How is it that X is also a filled magic square?
Any help is appreciated!