If A, B, C are three square matrices of third order such that `A=[[x,0,2],[0,y,0],[0,0,z]], det(B)=2^2. 3^2,det(C)=2` where `x, y, z in I^+` and `det(adj(adj(ABC))) =2^16xx3^8xx7^4` , then find the number of distinct possible matrices A.

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 ________ .

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 ________ .

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 ________ .

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 ________ .

If A & B are square matrices of order 2 such that A+adj(B^T)=[[2,1],[1,2]] & A^T-adj(B)=[[0,1],[1,0]] then

If A and B are square matrices of order 3 such that det(A)=-2 and det(B)=4, then : det(2AB)=

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