Let A = bmatrix 0 & 0 & -1 0 & -1 & 0 -1 & 0 & 0 bmatrix . The only correct statement about the matrix A is

JEE Advanced Mathematics question

Let . The only correct statement about the matrix is

Answer: (D)

, and this permutation matrix is neither zero nor , so (a), (b) are false. (expand along the first row: $|A| = -1·(0· 0 - (-1)(-1)) =

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Question ID VK-110448