हिंदी

In a Magic Square Each Row, Column and Diagonal Have the Same Sum. Check Which of the Following is a Magic Square.

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प्रश्न

In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.

1)

5 -1 -4
-5 -2 7
0 3 -3

2)

1 -10 0
-4 -3 -2
-6 4 -7

 

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उत्तर

It can be observed that in square (1), 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 (2), each row, column, and diagonal add up to give −9. Therefore, (2) is a magic square.

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