6.If `A=[[x,0,0],[0,y,0],[0,0,z]]` then `A^(-1)` is

The inverse of the matrix [[x, 0, 0], [0, y, 0], [0, 0, z]] is

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):}]

If [[1,0,0],[0,1,0],[0,0,1]][[x],[y],[z]]=[[1],[-1],[0]] then value of (x+y+z)is

If [[1,0,0],[0,y,0],[0,0,1]][[x],[-1],[z]]=[[1],[2],[1]], then the value of x+y+z is

If P=[(x,0, 0),( 0,y,0 ),(0, 0,z)] and Q=[(a,0 ,0 ),(0,b,0 ),(0, 0,c)] , prove that P Q=[(x a,0 ,0 ),(0,y b,0),( 0 ,0,z c)]=Q P

If A = [(x,0,0),(0,y,0),(0,0,z)] is a non-singular matrix, then find A^(-1) by using elementary row transformations. Hence, write the inverse of [(2,0,0),(0,1,0),(0,0,-1)]

R=[(x,0,0),(0,y,0),(0,0,z)],x/sintheta=y/sin(0+(2pi)/3)=z/sin(0+(4pi)/3) Statement-1: Trace (R) = 0 Statement-2: Trace (adj(adj(R))=0

If |[x,2,0],[2,x,0],[0,0,1]|+|[y,1],[0,0]|+|[0,1],[0,z]|=0 ,then find x

If x!=0,y!=0,z!=0 and det[[1+x,1,11+y,1+2y,11+z,1+z,1+3z]]=0, then x^(-1)+y^(-1)+z^(-1) is equal to a.1b.1c.-3d none of these