If `0\ <\ x\ <\ 1` , which of the following is greatest ? `x` (b) `x^2` (c) `1/x` (d) `1/(x^2)`

If A = [{:( 0,0,0),(0,0,0) ,(0,1,0):}] ,then A is

If A = [{:( 0,0,0),( 1,0,0),(0,1,0):}] ,then

If A =[{:(a,0,0),(0,a,0),(0,0,a):}] , then det (adjA) equals

If A =[{:(2,0,0),(0,1,0),(0,0,1):}] then adj(A) =

If A = [(3,0,0),(0,3,0),(0,0,3)] , then |A||adj A| =...

The inverse of [[0, 0, 1], [0, 1, 0], [1, 0, 0]] is

If A = {:[(2,0,0),(0,2,0),(0,0,2)]:}, then A^(6) = .........

If x, y, z are non-zero real numbers, then the inverse of matrix A=[(x,0, 0) ,(0,y,0),( 0, 0,z)] is (A) [[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]] (B) xyz[[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]] (C) (1)/(xyz)[[x,0,0],[0,y,0],[0,0,z]]] (D) (1)/(xyz)[[1,0,0],[0,1,0],[0,0,1]]

Choose the correct answer in questions 17 to 19: If x, y, z are nonzero real numbers then the inverse of metrix A=[{:(x,0,0),(0,y,0),(0,0,z):}] is : (a) [{:(x^(-1),0,0),(0,y^(1),0),(0,0,z^(1)):}] (b) xyz[{:(x^(-1),0,0),(0,y^(1),0),(0,0,z^(1)):}] ( c) 1/(xyz)[{:(x,0,0),(0,y,0),(0,0,z):}] (d) 1/(xyz)[{:(1,0,0),(0,1,0),(0,0,1):}]