If `A=[(3,-4),(1,-1)]` prove that `A^k=[(1+2k,-4k),(k,1-2k)]` where `k` is any positive integer.

If A=[[3,-41,-1]] prove that A^(k)=[[1+2k,-4kk,1-2k]] where k is any k integer.

If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}],k epsilon N

If k is any positive integer, then (k^(2)+2k) is

Prove that sum_(k=1)^(n-1)(n-k)(cos(2k pi))/(n)=-(n)/(2) wheren >=3 is an integer

f(x)=x^(2)+16 . For what value of k is f(2k+1)=2f(k)+1 if k is a positive integer?

Let A=[(2,0,7),(0,1,0),(1,-2,1)] and B=[(-k,14k,7k),(0,1,0),(k,-4k,-2k)] . If AB=I , where I is an identity matrix of order 3, then the sum of all elements of matrix B is equal to

Let A=[(2,0,7),(0,1,0),(1,-2,1)] and B=[(-k,14k,7k),(0,1,0),(k,-4k,-2k)] . If AB=I , where I is an identity matrix of order 3, then the sum of all elements of matrix B is equal to

If (k-1),(2k+1),(6k+3) are in GP then k=?

The frequency distribution is given below. {:(x,k,2k,3k,4k,5k,6k),(f,2,1,1,1,1,1):} In the table, k is a positive integer, has a varience of 160. Determine the value of k.

The frequency distribution is given below. {:(x,k,2k,3k,4k,5k,6k),(f,2,1,1,1,1,1):} In the table, k is a positive integer, has a varience of 160. Determine the value of k.