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Determine which of the following formulas hold for all invertible n times n matrices A and B. (AB)^-1 = A^-1 B^-1 (A + B)(A -
Determine which of the following formulas hold for all invertible n times n matrices A and B. (AB)^-1 = A^-1 B^-1 (A + B)(A - B) = A^2 - B^2 (I + A)(I + A^-1) = 2I + A + A^-1 ABA^-1 = B (ABA^-1)^3 = AB^3A^-1 (A + B)^2 = A^2 + B^2 + 2AB AB = BA (I - A)(I + A) = I - A^2 A + B is invertible A^3 is invertible
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