In a magic square each row, column and diagonal have the same sum. Check which of
the following is a magic square.
(i)
5 | -1 | -4 |
-5 | -2 | 7 |
0 | 3 | -3 |
(ii)
1 | -10 | 0 |
-4 | -3 | -2 |
-6 | 4 | -7 |
From the above question, we have
In the (i) square by adding every row and column we get sum which is equal to 0 but the sum of one of its diagonals is not 0
As,
-4 – 2 = - 6
- 6 0
Similarly,
In the (ii) square by adding every row and column we get sum which is equal to -9. Also all the diagonals of this square gives the same sum ie. -9
Therefore,
It is a magic square