If `A^3=O ,t h e nI+A+A^2` equals a.`I-A` b. `(I+A^1)^(-1)` c. `(I-A)^(-1)` d. none of these

If A^3 =O, then I+ A + A^2 = (where I is the unit matrix of order same as that of square matrix A) is equals (A) I -A (B) (I-A)^-1 (C) (I+A) (D) none of these

If A^(2)-A+I=O , then A^(-1) is equal to

If z=(i)^(i)^(((i)))w h e r e i=sqrt(-1),t h e n|z| is equal to 1 b. e^(-pi//2) c. e^(-pi) d. none of these

Let f(x)=(1+x)/(1-x) . If A is matrix for which A^3=0 ,then f(A) is (a) I+A+A^2 (b) I+2A+2A^2 (c) I-A-A^2 (d) none of these

If A is an orthogonal matrix then A^(-1) equals a. A^T b. A c. A^2 d. none of these

ifint(dx)/(x^2(x^n+1)^(((n-1)/n)) )=-[f(x)]^(1/n)+c ,t h e nf(x)i s (a) (1+x^n) (b) 1+x^(-1) (c) x^n+x^(-n) (d) none of these

If for the matrix A ,\ A^3=I , then A^(-1)= (a) A^2 (b) A^3 (c) A (d) none of these

If a=1+i , then a^2 equals A. 1-i B. 2i C. (1+i)(1-i) D. (i-1)

If |z| < sqrt(2)-1,t h e n|z^2+2zcosalpha|i s a. less than 1 b. sqrt(2)+1 c. sqrt(2)-1 d. none of these

If A= [(1,0,1), (0,0,1),(a,b,2)] , then a I+b A+2A^2 equals (a) A (b) - A (c) a b\ A (d) none of these