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in Trigonometry by (41.3k points)

Let A = [aij] 3 be a square matrix of order 3 whose elements are distinct integers from 1, 2, …, 9. The matrix is formed so that the sum of numbers in every row, column and diagonal is a multiple of 9.

The element a22 must be a multiple of

(A) 2

(B) 3

(C) 4

(D) 9 

1 Answer

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Best answer

Answer is (B) 3

Clearly the maximum value of the sum of the diagonal elements is 18 which are called the trace or the matrix A.  

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