Let \( A \) be a square matrix of order 3 satisfies the matrix equation \( A^{3}-6 A^{2}+7 A-8 I...

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Let \( A \) be a square matrix of order 3 satisfies the matrix equation \( A^{3}-6 A^{2}+7 A-8 I=O \) and \( B=A-2 I \). Also, \( \operatorname{det} A=8 \).
\( \mathrm{P} \)
If adj \( \left(\left(\frac{B}{2}\right)^{-1}\right)=\left(\frac{p}{q}\right) B \), where \( p, q \in N \), the least value of
W \( (p+q) \) is equal to
(a) 7
(b) 9
(c) 29
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