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In square (i)-
Sum of columns
1-0
2-0
3-0
And sum if rows
1=0
2=0
3=0
Sum of diagonals
Right to left=-6
Left to right=0
Hence this will not be magical square.
Now for the second square-
Sum of columns
1=-9
2=-9
3=-9
Sum if rows
1=-9
2=-9
3=-9
Sum of diagonals
Right to left= -9
Left to right=-9
Hence in this square sum of all rows ,columns and diagonals are all equal therefore this is magical square.
read lessIt can be observed that in square (i), every row and column add up to give 0. However, the sum of one of its diagonals is not 0.
As − 4 − 2 = −6 ≠ 0,
Therefore, (i) is not a magic square.
Similarly, in square (ii), each row, column, and diagonal add up to give −9. Therefore, (ii) is a magic square.
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