Q.

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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a

28

b

36

c

45

d

55

answer is B.

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Detailed Solution

|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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