Determine which of the formulas hold for all invertible nxn matrices A and B. (p

Question

Determine which of the formulas hold for all invertible nxn matrices A and B. (please explain) a)   (AB)-1=A-1B-1 b)   A+B is invertible c) (A+B)(A-B)=A2-B2 d)   (In-A)(In+A)=In-A2 e) ABA-1=B f)   A9 is invertible Determine which of the formulas hold for all invertible nxn matrices A and B. (please explain) a)   (AB)-1=A-1B-1 b)   A+B is invertible c) (A+B)(A-B)=A2-B2 d)   (In-A)(In+A)=In-A2 e) ABA-1=B f)   A9 is invertible b)   A+B is invertible c) (A+B)(A-B)=A2-B2 d)   (In-A)(In+A)=In-A2 e) ABA-1=B f)   A9 is invertible

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