Home
Class 12
MATHS
[" If (t) "A=[[1,1],[0,1]]" .Filfer "(1)...

[" If (t) "A=[[1,1],[0,1]]" .Filfer "(1)/(100)" (prove that) "],[A^(n)=[[1,n],[0,1]]" Fin "n in N" " for (for all "n in N)]

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If A=[[1,a],[0,1]], then lim _(n to oo)(1)/(n) A^n is

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=[1101], prove that A^(n)=[1n01] for all positive integers n.

If A=[[1,1],[1,1]] ,prove that A^n=[[2^(n-1),2^(n-1)],[2^(n-1),2^(n-1)]], for all positive integers n.

If A=[[1,1],[1,1]] ,prove that A^n=[[2^(n-1),2^(n-1)],[2^(n-1),2^(n-1)]] , for all positive integers n.