JEE Advanced 2021 Paper 1 Mathematics Q11

Mathematics

Problem

For any 3 × 3 matrix M, let |M| denote the determinant of M. Let E = [[1, 2, 3], [2, 3, 4], [8, 13, 18]], P = [[1, 0, 0], [0, 0, 1], [0, 1, 0]] and F = [[1, 3, 2], [8, 18, 13], [2, 4, 3]]. If Q is a nonsingular matrix of order 3 × 3, then which of the following statements is (are) TRUE?

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