[" 13.Let "A=[[1,0],[1,1]]" ,and "l=[[1,0],[0,1]]],[" then prove that "A^(n)=nA-(n-1)l,n>=1]

let A=[[1,01,1]] and I=[[1,00,1]] prove that A^(n)=nA-(n-1)I,n>=1

If A=[[a,b],[0,1]] then prove that A^n=[[a^n,(b(a^n-1))/(a-1)],[0,1]]

If A=[[1,1],[0,1]] , prove that A^n=[[1,n],[0,1]] for all n epsilon N

If A=[(a,b),(0,1)] , where a ne 1 , then prove that A^(n) =[(a^(n), (b(a^(n)-1))/(a-1)),(0,1)], n in N .

If [[1,1],[0,1]] , prove that A^n=[[1,n],[0,1]] for all positive integers ndot

Let A=[(1,1,1),(0,1,1),(0,0,1)] prove that by induction that A^n=[(1,n,n(n+1)/2),(0,1,n),(0,0,1)] for all n in N .

If A=[{:(1,1),(0,1):}] , prove that A=[{:(1,n),(0,1):}] for all n inN.

A=[{:(a,b),(0,1):}],ane1 then prove that A^(n)=[{:(a^(n),(b(a^(n)-1))/(a-1)),(0," "1):}], n inN .

Let A=({:(1,1,1),(0,1,1),(0,0,1):}) . Then for positive integer n, A^n is

Let A = |{:(1, 1, 1),(0,1,1),(0,0,1):}] . Then for positive ineger n, A^(n) is