" If "A=[[1,a],[0,1]]," then "A^(n)(" where "n in N)" equals "

If A=[{:(1,a),(0,1):}] then A^(n) (where n in N ) is equal to

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

If A= [[0,1,0],[1,0,0],[0,0,1]] , then A^(2n)= where n is a positive integer.

If A=[[cos theta , sin theta],[sin theta,-costheta]], B = [[1,0],[-1,1]], C=ABA^(T), then A^(T) C^(n) A, n in I^(+) equals to a. [[-n,1],[1,0]] b. [[1,-n],[0,1]] c. [[0,1],[1,-n]] d. [[1,0],[-n,1]]

If the product of n matrices [[1,n][0, 1] [[1, 2],[ 0 , 1]] [[1 , 3],[ 0, 1]][[1, n],[ 0 , 1]] is equal to the matrix [[1, 378], [0 , 1]] then the value of n is equal to

Let" "S_(k)=( (1 ,k), (0 ,1) ), k in N .Then (S_(2))^(n)(S_(x))^(-1) (where n in N) is equal to: (S_(k))^(-1) denotes the inverse of matrix S_(k)

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 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