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For any 3xx3 matrix M, let absM denote t...

For any `3xx3` matrix M, let `absM` denote the determinant of M. Let I be the `3xx3` identity matrix. Let E and F be two `3xx3` matrices such that `(I − EF)` is invertible. If `G=(I-EF)^-1`, then which of the following statements is (are) TRUE ?

A

`abs(FE)=abs(I-FE)abs(FGE)`

B

`(1-FE)(1+FGE)=I`

C

`EFG=GEF`

D

`(I-FE)(I-FGE)=I`

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