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 (x,y,z) are

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, 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 A=[(x,2,-3),(-1,3,-2),(2,-1,1)] be a matrix and |adj(adjA)|=(12)^(4) , then the sum of all the values of x is equal to

Let A=[a_(ij)]_(5xx5) is a matrix such that a_(ij)={(3,AA i= j),(0,Aai ne j):} . If |(adj(adjA))/(3)|=(sqrt3)^(lambda), then lambda is equal to (where, adj(M) represents the adjoint matrix of matrix M)

If A={:[(1,2,-1),(-1,2,2),(2,-1,1)],:} then : |adj(adj.A)|=

A, B and C are three square matrices of order 3 such that A= diag. (x, y, x), 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 ________ .

Let A=[a_("ij")] be a matrix of order 2 where a_("ij") in {-1, 0, 1} and adj. A=-A . If det. (A)=-1 , then the number of such matrices is ______ .

Let A be a 3xx3 real matrix. If det(2 Adj(2 Adj(Adj (2A)))) = 2^(41) , then the value of det (A^2) equals _______