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)]`

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

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)]

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=[(1,0),(0,1)] then A^4= (A) [(1,0),(0,1)] (B) [(1,1),(0,10)] (C) [(0,0),(1,1)] (D) [(0,1),(1,0)]

If A=[(1,0),(1/2,1)] then A^50 is (A) [(1,25),(0,1)] (B) [(1,0),(25,1)] (C) [(1,0),(0,50)] (D) [(1,0),(50,1)]

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)]

If A=[(1,2),(0,1)], then A^n= (A) [(1,2n),(0,1)] (B) [(2,n),(0,1)] (C) [(1,2n),(0,-1)] (D) [(1,n),(0,1)]

The matrix X in the equation AX=B, such that A= [(1,3),(0,1)] and B= [(1,-1),(0,1)] is given by (A) [(1,0),(-3,1)] (B) [(1,-4),0,1)] (C) [(1,-3),(0,1)] (D) [(0,-1),(-3,1)]

The area of the triangle formed by A (1, 0, 0), B(0, 1, 0), C(1, 1, 1) is