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$Let the matrix A = [\begin{array}{ccc} x & y & - z \\ 1 & 2 & 3 \\ 1 & 1 & 2 \end{array}] where x, y, z \in N . If ∣ a d j (adj (adj (a d j A)) | | = 4^{8} 5^{16} then$ $number of such (x, y, z) are$

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Correct option is B

|adj⁡(adj(adj⁡(adj⁡A)))|=|A|16=48⋅516⇒|A|=10 ⇒x+y+z=10 No. of positive integral solution =9C2=36

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Let the matrix A=xy−z123112 where x,y,z∈N. If ∣adjadj⁡(adj⁡(adjA))||=48516 then number of such (x,y,z) are

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$Let the matrix A = [\begin{array}{ccc} x & y & - z \\ 1 & 2 & 3 \\ 1 & 1 & 2 \end{array}] where x, y, z \in N . If ∣ a d j (adj (adj (a d j A)) | | = 4^{8} 5^{16} then$ $number of such (x, y, z) are$