If \( A=\left[\begin{array}{lll}a & b & c \\ x & y & z \\ p & q & r\end{array}\right], B=\left[\...

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If \( A=\left[\begin{array}{lll}a & b & c \\ x & y & z \\ p & q & r\end{array}\right], B=\left[\begin{array}{ccc}q & -b & y \\ -p & a & -x \\ r & -c & z\end{array}\right] \) and if \( A \) is invertible, then which of the following is not true?
(A) \( |A|=|B| \)
(B) \( |A|=-|B| \)
(C) \( |\operatorname{adj} A|=|\operatorname{adj} B| \)
(D) \( A \) is invertible if and only if \( B \) is invertible
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