If `A=[(alpha, 0,0),(0,b,0),(0,0,c)]` and a,b,c are non zero real numbers, then `A^-1` is (A) `1/(abc) [(1,0,0),(0,1,0),(0,0,1)]` (B) `1/(abc) [(a,0,0),(0,b,0),(0,c,0)]` (C) `1/(abc) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)]` (D) ` [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)]`

If {:A=[(a,0,0),(0,b,0),(0,0,c)]:}," then "A^(-1) , is

The inverse of the matrix [(0,0,1),(0,1,0),(1,0,0)] is (A) [(0,0,1),(0,1,0),(1,0,0)] (B) [(0,0,-1),(0,-1,0),(-1,0,0)] (C) [(1,0,0),(0,1,0),(0,0,1)] (D) [(1/2,0,0),(0,1/2,0),(0,0,1/2)]

The inverse of the matrix [(1,0,0),(a,1,0),(b,c,1)] is (A) [(1,0,0),(-a,1,0),(b,c,1)] (B) [(1,0,0),(-a,1,0),(ac,b,1)] (C) [(1,-a,ac-b),(-0,1,-c),(0,0,1)] (D) [(1,0,0),(-a,1,0),(ac-b,-c,1)]

If A= [(0,1,1),(0,0,1),(0,0,0)] is a matrix of order 3 then the value of the matrix (I+A)-2A^2(I-A), where I is a unity matrix is equal to (A) [(1,0,0),(1,1,0),(1,1,1)] (B) [(1,-1,-1),(0,1,-1),(0,0,1)] (C) [(1,1,-1),(0,1,1),(0,0,1)] (D) [(0,0,2),(0,0,0),(0,0,0)]

The inverse of [(1,a,b),(0,x,0),(0,0,1)] is [(1,-a,-b),(0,1,0),(0,0,1)] |then x =

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 A=[(0,1),(1,0)] then A^4 is (A) [(0,0),(1,1)] (B) [(1,1),(0,0)] (C) [(0,1),(1,0)] (D) [(1,0),(0,1)]