Let A=21012−10−12. If |adj⁡(adj⁡(adj⁡2A))|=(16)n, then ' n ' is equal to

|A|=2(3)−1(2)=4∴|adj⁡(adj⁡(adj⁡(2A)))|∴ |2A|(n−1)3 =∣2A|8=224⋅48 =246424=1610∴ n=10

Let A=21012−10−12. If |adj⁡(adj⁡(adj⁡2A))|=(16)n, then ' n ' is equal to

|A|=2(3)−1(2)=4∴|adj⁡(adj⁡(adj⁡(2A)))|∴ |2A|(n−1)3 =∣2A|8=224⋅48 =246424=1610∴ n=10

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$Let A = [\begin{array}{ccc} 2 & 1 & 0 \\ 1 & 2 & - 1 \\ 0 & - 1 & 2 \end{array}] .$ $If | adj (adj (adj 2 A)) | = (16)^{n}, then ' n' is equal to$

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$\begin{array}{l} | A | = 2 (3) - 1 (2) = 4 \\ ∴ | adj (adj (adj (2 A))) | \\ ∴ | 2 A |^{(n - 1)^{3}} \\ =∣ 2 A |^{8} = 2^{24} \cdot 4^{8} \\ = {(2^{4})}^{6} {(4^{2})}^{4} = 16^{10} \\ ∴ n = 10 \end{array}$

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Let A=21012−10−12. If |adj⁡(adj⁡(adj⁡2A))|=(16)n, then ' n ' is equal to

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$Let A = [\begin{array}{ccc} 2 & 1 & 0 \\ 1 & 2 & - 1 \\ 0 & - 1 & 2 \end{array}] .$ $If | adj (adj (adj 2 A)) | = (16)^{n}, then ' n' is equal to$