If `A = [{:(3, 0), (0, 3):}]`, then find `A^(n),` (where `n in N)`

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,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 in an AP a=15, d=-3 and a_n=0 . Then find the value of n.

If lim_(x rarr0)(1-cos x*cos2x*cos3x...cos nx)/(x^(2)) has the value equal to 263, find the value of n ( where n in N)

If the matric A=((2,0,0),(0,2,0),(2,0,2)) , then A^(n)=((a,0,0),(0,a,0),(b,0,a)), n in N where

Evaluate int_(0)^(n) [x] dx, (n in N) where [ ] denotes the GIF

Evaluate , S = sum_(n = 0)^infty 2^n/(a^(2^n) + 1) (where a gt 1 )

if (1-x^3)^n=sum_(r=0)^n a_rx^r (1-x)^(3n-2r), where n epsilonN then find a_r .