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Which of these formulas hold for all invertible n x n matrices A and B:
1) 8A is invertible
2) A + B is invertible
3) (A + B)^2 = A^2 + B^2 + 2AB
4) (ABA^1)^7 = AB^7A^1
5) (AB)^-1 = A^-1B^-1
6) ABA^-1 = B
Thanks
1) 8A is invertible
2) A + B is invertible
3) (A + B)^2 = A^2 + B^2 + 2AB
4) (ABA^1)^7 = AB^7A^1
5) (AB)^-1 = A^-1B^-1
6) ABA^-1 = B
Thanks