IF `A`=`[(1,0),(1,1)]` then for all natural numbers `n` ` A^n` is equal to (A) `[(1,0),(1,n)]` (B) `[(n,0),(1,1)]` (C) `[(1,0),(n,1)]` (D) none of these

If A=[[1,0],[1,1]] then A^(n) is equal to

If A=[(1,a),(0, 1)] , then A^n (where n in N) equals [(1,n a),(0, 1)] (b) [(1,n^2a),(0, 1)] (c) [(1,n a),(0 ,0)] (d) [(n,n a),(0,n)]

If A=[[1,0],[1,1]] then A^(-n) is equal to -

If A=[(1,1),(1,0)] and n epsilon N then A^n is equal to (A) 2^(n-1)A (B) 2^nA (C) nA (D) none of these

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)]

If A=[(1,0,0),(0,1,0),(3,4,-1)] and A^(n)=l , then value of n is equal to

If A= [(1,0),(1,1)] then (A) A^-n=[(1,0),(-n,1)] , n epsilon N (B) lim_(n rarr 00)1/n^2 A^-n = [(0,0),(0,0)] (C) lim_(nrarroo)1/n A^-n = [(0,0),(-1,0)] (D) none of these

Lt_(nrarroo) {(n!)/(kn)^n}^(1/n), k!=0 , is equal to (A) k/e (B) e/k (C) 1/(ke) (D) none of these

If a_n=sum(r=0)^n 1/^nC_r, then sum _(r=0^n r/^nC_r equals (A) (n-1)a_n (B) na_n (C) 1/2na_n (D) none of these