If A is the identity matrix of order 3 and B is its transpose, then what is the value of the determinant of the matrix C=A+B?

NDA 2022 Mathematics question

If is the identity matrix of order 3 and is its transpose, then what is the value of the determinant of the matrix ?

Answer: (D)

The transpose of the identity matrix is the identity matrix itself, so

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Question ID VK-029300