How to make a 4 - 4 magic square-

A magic square is an arrangement of the numbers from 1 to n^2 (n squared) in an (n × n) matrix, with each number occurring exactly once, and such that the sum o ...

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Standard VIII

Mathematics

Square

How to make a...

Question

How to make a $4 \times 4$ magic square?

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Solution

A magic square is an arrangement of the numbers from 1 to $n^{2}$ (n-squared) in an $(n \times n)$ matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same.
$\begin{matrix} 16 & 3 & 2 & 13 5 & 10 & 11 & 8 9 & 6 & 7 & 12 4 & 15 & 14 & 1 \end{matrix}$

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

5	− 1	− 4	1	− 10	0
− 5	− 2	7	− 4	− 3	− 2
0	3	− 3	− 6	4	− 7
(i)			(ii)

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How to make a 4×4 magic square?

A magic square is an arrangement of the numbers from 1 to n2 (n-squared) in an (n×n) matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same. 16321351011896712415141

How to make a $4 \times 4$ magic square?