If A and B are invertible matrices

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

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

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

(B)

(AB)^{-1} = B^{-1}A^{-1}

(C)

\text{adj}(A) = |A| A^{-1}

(D)

|A|^{-1} = |A^{-1}|