" If "A=[[cos theta,sin theta],[-sin theta,cos theta]]" then show that "A^(n)=[[cos n theta,sin n theta],[-sin n theta,cos n theta]]n in N

If A=[[cos theta,sin theta-sin theta,cos theta]] then prove that A^(n)=[[cos n theta,sin n theta-sin n theta,cos n theta]],n in N

If A=[[cos theta, sin theta],[ -sin theta, cos theta]] , then prove that A^n=[[cos ntheta, sinn theta],[ -sin n theta, cos n theta]] , n in N .

If A=[(cos theta, sin theta),(-sin theta, cos theta)] , then prove that A^n=[[cosntheta,sin ntheta],[-sin ntheta,cos ntheta]], n in N

Show that if A = [[cos theta, sin theta],[-sin theta, cos theta]] , then A^n = [[cos n theta, sin n theta],[-sin n theta, cos n theta]]

If A = ([cos theta,sin theta],[-sin theta,cos theta]) show that A= ([cos ntheta,sin n theta],[-sin n theta,cos n theta]) n= positive integer.

(4) A=[[cos(theta),sin(theta)],[-sin(theta),cos(theta)]] ; prove, A^n=[[cos(ntheta),sin(ntheta)],[sin(ntheta),cos(ntheta)]]

IfA=[[cos theta,sin theta-sin theta,cos theta]], then lim_(x>oo)(1)/(n)A^(n) is

If A=[(cos theta, sin theta),(- sin theta, cos theta)] then lim_(nto oo)1/n A^(n) is

cos m theta=sin n theta then theta=

If [[cos theta,sin theta],[-sin theta,cos theta]], then lim _(n rarr infty )A^(n)/n is (where theta in R )