Let matrix `A=[(x,y,-z),(1,2,3),(1,1,2)]` where `x,y, z in N`. If det. (adj. (adj. A))`=2^(8)*3^(4)` then the number of such matrices A is :
[Note : adj. A denotes adjoint of square matrix A.]

Let matrix A=[[x,y,-z1,2,31,1,2]] where x,y,z varepsilon N. If det.,(adj(adj.A))=2^(8)*(3^(4)) then the number of such matrices A is :

Let matrix A=[[x,y,-z],[1,2,3],[1,1,2]] where x,y,zepsilonN . If det.(adj(adj.A))=2^8.(3^4) then the number of such matrices A is :

Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N . If |adj(adj(adj(adjA)))|=4^(8)*5^(16) , then the number of such (x,y,z) are

Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N . If |adj(adj(adj(adjA)))|=4^(8)*5^(16) , then the number of such (x,y,z) are

Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N . If |adj(adj(adj(adjA)))|=4^(8)*5^(16) , then the number of such (x,y,z) are

Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N . If |adj(adj(adj(adjA)))|=4^(8)*5^(16) , then the number of such (x,y,z) are

Let matrix A=[(x,y,-z),(1,2,3),(1,1,2)] , where x, y, z in N . If |adj(adj (adj(adjA)))|=4^(8).5^(16) , then the number of such matrices A is equal to (where, |M| represents determinant of a matrix M)

Let matrix A=[(x,y,-z),(1,2,3),(1,1,2)] , where x, y, z in N . If |adj(adj (adj(adjA)))|=4^(8).5^(16) , then the number of such matrices A is equal to (where, |M| represents determinant of a matrix M)

A, B and C are three square matrices of order 3 such that A= diag (x, y, z) , det (B)=4 and det (C)=2 , where x, y, z in I^(+) . If det (adj (adj (ABC))) =2^(16)xx3^(8)xx7^(4) , then the number of distinct possible matrices A is ________ .