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

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,a),(,0,1):}] then find lim_(n-oo) (1)/(n)A^(n)

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)]

Let A = [(1,0),(2,3)] and A^(n) = [(a, b),(c,d)] then lim_(n to oo) (b + c)/(a + d) =

Let A=[1 0 1 1] . Then which of following is not true? (lim)_(nvecoo)1/(n^2)A^(-n)=[0 0-1 0] b. (lim)_(nvecoo)1/n A^(-n)=[0 0-1 0] c. A^(-n)=[1 0-n1]AAn!=N d. none of these

If A=[(1,a),(0, 1)] , then A^n (where n in N) equals (a) [(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=[(2,-1),( 3,-2)] , then A^n= [(1, 0),( 0,1)] , if (a) n is an even natural number (b) [(1 ,0),( 0, 1)] , if n is an odd natural number (c) [(1 ,0),( 0, 1)] , if n in N (d) none of these

If A=[(i,0), (0,i)],\ n in N , then A^(4n) equals [(0,i), (i,0)] (b) [(0 ,0) ,(0, 0)] (c) [(1, 0) ,(0, 1)] (d) [(0,i) ,(i,0)]

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

lim_(nrarroo) sum_(r=0)^(n-1) (1)/(sqrt(n^(2)-r^(2)))