If all elements of a third order determinant are equal to 1 or -1, then the value of the determinant is :

NDA 2023 Mathematics question

If all elements of a third order determinant are equal to 1 or , then the value of the determinant is :

Answer: (B)

Apply and . Since every entry is , each entry of the new and is or , so a factor 2 can be taken out of each of these rows; the determinant is

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Question ID VK-029667