If A and B are invertible matrices,then which | vedclass

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(D) For invertible matrices $A$ and $B$,the following properties hold:$1$. The inverse of a product is the product of inverses in reverse order: $(AB)

Vedclass · Accepted Answer

$(A+B)^{-1} = B^{-1} + A^{-1}$

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(D) For invertible matrices $A$ and $B$,the following properties hold:$1$. The inverse of a product is the product of inverses in reverse order: $(AB)^{-1} = B^{-1} A^{-1}$.$2$. The adjoint of a matrix is related to its inverse by: $\operatorname{adj} A = |A| A^{-1}$.$3$. The determinant of an inverse matrix is the reciprocal of the determinant of the original matrix: $\operatorname{det}(A^{-1}) = [\operatorname{det}(A)]^{-1}$.$4$. The inverse of a sum is generally not equal to the sum of the inverses: $(A+B)^{-1} 
eq A^{-1} + B^{-1}$.Therefore,the statement $(A+B)^{-1} = B^{-1} + A^{-1}$ is incorrect.

If $A$ and $B$ are invertible matrices,then which of the following is not correct?

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