If `A=[[3,-4],[1,-1]]` then `A^(n)=`

If A=[(2,-4),(1,-1)] the value of A^n is (A) [(3^n,(-4)^n),(1,(-1)^n)] (B) [(3n,-4n),(n,n)] (C) [(2+n,5-n),(n,-n)] (D) none of these

If {:X=[(3,-4),(1,-1)]:} , the value of X^n is equal to

If A^T=[3 4-1 2 0 1]a n dB=[-1 2 1 1 2 3], find A^T-B^T

If n=(2017)! , then what is (1)/(log_(2)n)+(1)/(log_(3)n)+(1)/(log_(4)n)+....+(1)/(log_(2017)n) equal to?

If C_(0),C_(1), C_(2),...,C_(N) denote the binomial coefficients in the expansion of (1 + x)^(n) , then 1^(3). C_(1)-2^(3). C_(3) - 4^(3) . C_(4) + ...+ (-1)^(n-1)n^(3) C_(n)=

Let x be the 7^(th) term from the beginning and y be the 7^(th) term from the end in the expansion of (3^(1//3)+(1)/(4^(1//3)))^(n . If y=12x then the value of n is :