If for a matrix `A,A^2+I=0, where I` is an identity matrix then A equals (A) `[(1,0),(0,1)]` (B) `[(-1,0),(0,-1)]` (C) `[(1,2),(-1,1)]` (D) `[(-i,0),(0,-i)]`

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)]

(C) equal to In1f for a matrix A, A? +| =0 where I is the identity matrix, then A equale1 0(A) o 1© @ :?-1 01(C)1 1c1 27[o -1

The matrix of the transformation reflection in the line x+y=0 is (A) [(-1,0),(0,-1)] (B) [(1,0),(0,-1)] (C) [(0,1),(1,0)] (D) [(0,-1),(-1,0)]

The matrix A^2 + 4 A-5I, where I is identity matrix and A = [[1,2],[4,-3]]equals : (A) 32[[1,1],[1,0]] (B) 4[[2,1],[2,0]] (C) 4[[0,-1],[2,2]] (D) 32[[2,1],[2,0]]

If A=[(x,1),(1,0)] and A^(2) is the identity matrix, then x is equal to

If P=[(i,0,-i),(0,-i,i),(-i,i,0)] and Q=[(-i,i),(0,0),(i,-i)] then PQ is equal to (A) [(-2,2),(1,-1),(1,-1)] (B) [(2,-2),(-1,-1),(-1,1)] (C) [(2,2),(-1,1)] (D) [(1,0,0),(0,1,0),(0,0,1)]

If A=[(costheta, sin theta),(-sintheta, costheta)] then lim_(nrarroo) A^n/n is (where theta epsilon R) (A) an idenity matrix (B) a zero matrix (C) [(1,0),(0,1)] (D) [(0,1),(-1,-0)]

If I=int_0^1 (xdx)/(8+x^3) then the smallest interval in which I lies is (A) (0,1/8) (B) (0,1/9) (C) (0,1/10) (D) (0,1/7)

If A=[(5,2),(-1,2)] and I=[(1,0),(0,1)] show that : (A-3I)(A-4I)=O