JEE Advanced 2021 Paper 1 Mathematics Q14

Mathematics

Problem

For any 3 × 3 matrix M, let |M| denote the determinant of M. Let I be the 3 × 3 identity matrix. Let E and F be two 3 × 3 matrices such that (I − EF) is invertible. If G = (I − EF)−1, then which of the following statements is (are) TRUE?

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