If `A^2=1,` then the value of det`(A-I)` is (where `A` has order 3) `1` b. `-1` c. `0` d. cannot say anything

If i^2=-1, then the sum i+i^2+i^3+... upto 1000 terms is equal to a. 1 b. -1 c. i d. 0

If f(2+x)=f(-x) for all x in R then differentiability at x=4 implies differentiability at (a) x=1 (b) x=-1 (c) x=-2 (d) cannot say anything

If Det(A A^T B)=8 and Det(AB^-1)=8 , then the value of Det(BB^T A^-1) is equal to (A) 1/16 (B) 14 (C) 16 (D) 1

If A=[{:(2,3),(-1,-2):}] and B=sum_(r=1)^(10)A^r , then the value of det (B)is equal to

If z^3+(3+2i)z+(-1+i a)=0 has one real roots, then the value of a lies in the interval (a in R) (-2,1) b. (-1,0) c. (0,1) d. (-2,3)

5.The value of (i^(4x+1)-i^(4x-1))/(2) is equal to (a) 1 (b) -1 (c) -i (d) 0

If f(x)={(ax^2+b ,0lex<1),(4,x=1),(x+3,1ltxge2)) then the value of (a ,b) for which f(x) cannot be continuous at x=1, is (a) (2,2) (b) (3,1) (c) (4,0) (d) (5,2)

A=[(a,1,0),(1,b,d),(1,b,c)] then find the value of |A|

If A= [ [1, 2] , [-1, 1]] , then det (a d j\ A)) is ?

If A is an invertble matrix of order 2 then (det A ^-1) is equal to- a.det A b.1/ det A c. 1 d. 0