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If A and B are invertible matrices, w...

If `A` and `B` are invertible matrices, which of the following statement is not correct. `a d j\ A=|A|A^(-1)` (b) `det(A^(-1))=(detA)^(-1)` (c) `(A+B)^(-1)=A^(-1)+B^(-1)` (d) `(A B)^(-1)=B^(-1)A^(-1)`

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To determine which statement is not correct among the given options regarding invertible matrices \( A \) and \( B \), let's analyze each statement step by step. ### Step-by-Step Solution: 1. **Statement (a):** \( \text{adj}\ A = |A| A^{-1} \) - This statement is a known property of matrices. The adjoint (or adjugate) of a matrix \( A \) is equal to the determinant of \( A \) multiplied by the inverse of \( A \). - **Conclusion:** This statement is **correct**. ...
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