JEE Advanced 2021 Mathematics question
For any matrix , let denote the determinant of . Let
E = , P = and F =
If is a nonsingular matrix of order , then which of the following statements is (are) TRUE ?
Answer: (A),(B),(D)
Solution
Pre-multiplying by swaps rows 2 and 3, post-multiplying swaps columns 2 and 3: and ; also . (A) TRUE. and , so the right side of
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