NDA 2021 Mathematics question

With the numbers 2, 4, 6, 8, all the possible determinants with these four different elements are constructed. What is the sum of the values of all such determinants?

(A)128
(B)64
(C)32
(D)0Correct

Answer: (D)

Solution

Four elements form a determinant of order 2, , and the numbers 2, 4, 6, 8 can be placed in ways. For every such determinant, interchanging its two rows gives

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Question ID VK-033546