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Match the column:
Column-I
Column-II
P
(a) If \( \mathrm{A} \) and \( \mathrm{B} \) are square matrices of order \( 3 \times 3 \), where
(p) 7
W
\( |A|=2 \) and \( |B|=1 \), then \( \mid\left(A^{-1}\right) \). adj \( \left(B^{-1}\right) \). adj \( \left(2 A^{-1}\right) \mid= \)
(b) If \( \mathrm{A} \) is a square matrix such that \( \mathrm{A}^{2}=\mathrm{A} \) and
(q) 8 \( (\mathrm{I}+\mathrm{A})^{3}=\mathrm{I}+\mathrm{kA} \), then \( \mathrm{k} \) is equal to
(c) If \( \mathrm{A} \) and \( \mathrm{B} \) are two invertible matrices such that
(r) 0 \( \mathrm{AB}=\mathrm{C} \) and \( |\mathrm{A}|=2,|\mathrm{C}|=-2 \), then \( \operatorname{det}(\mathrm{B}) \) is
(d) If \( \mathrm{A}=\left[\mathrm{a}_{1 \mathrm{ij}}\right]_{3 \times 3} \) is a scalar matrix with \( \mathrm{a}_{11}=\mathrm{a}_{22}=\mathrm{a}_{33} \)
(s) \( -1 \) \( =2 \) and \( \mathrm{A}(\operatorname{adj} \mathrm{A})=\mathrm{kI}_{3} \) then \( \mathrm{k} \) is
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