Given the matrix `A=[[x,3,2],[1,y,4],[2,2,z]]`. If `xyz=60 and 8x+4y+3z=20,` then `A(adjA)` is equal to

Given that matrix A[(x,3,2),(1,y,4),(2,2,z)] . If xyz=60 and 8x+4y+3z=20 , then A(adj A) is equal to

Let matrix A=[(x,3,2),(1,y,4),(2, 2,z)], " if " xyz=2lambda and 8x+4y+3x=lambda+28 , then (adj A) A equals :

Consider the matrix A=[(x, 2y,z),(2y,z,x),(z,x,2y)] and A A^(T)=9I. If Tr(A) gt0 and xyz=(1)/(6) , then the vlaue of x^(3)+8y^(3)+z^(3) is equal to (where, Tr(A), I and A^(T) denote the trace of matrix A i.e. the sum of all the principal diagonal elements, the identity matrix of the same order of matrix A and the transpose of matrix A respectively)

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 :

Using elementary transformations, find the inverse of the matrix A = [[ 8, 4, 3 ], [ 2, 1, 1 ], [ 1, 2, 2 ]] and use it to solve the following system of linear equations : 8x+4y+3z=19 2x+y+z=5 x+2y+2z=7

Prove that : Det[[x,x^2,x^3],[y,y^2,y^3],[z,z^2,z^3]]=xyz(x-y)(y-z)(z-x)

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)

Solve x-y+z=4 , x+y+z=2 , 2x+y-3z=0

Let A=[{:(x^(2),6,8),(3,y^(2),9),(4,5,z^(2)):}],B=[{:(2x,3,5),(2,2y,6),(1,4,2z-3):}] . If trace A = trace B, then x+y+z is equal to ________

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