Test Academy | Which of the following is not a property of invertible matrices if A and B are matrices of the same order? (AB)⁻¹=A⁻¹ B⁻¹, (AA⁻¹)=(A⁻¹ A)=I, (AB)⁻¹=B⁻¹ A⁻¹, AB=BA=I

Question

Which of the following is not a property of invertible matrices if A and B are matrices of the same order?

Options :

(AB)⁻¹=A⁻¹ B⁻¹
(AA⁻¹)=(A⁻¹ A)=I
(AB)⁻¹=B⁻¹ A⁻¹
AB=BA=I

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