Question 14

For any $$3 \times 3$$ matrix M, let $$\mid M \mid$$ denote the determinant of M. Let I be the $$3 \times 3$$ identity matrix. Let E and F be two $$3 \times 3$$ 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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