If `A = [(cos theta, sin theta),(-sin theta, cos theta)]` then show that for all the positive integers n, `A^(n) = [(cos n theta,sin n theta),(-sin n theta,cos n theta)]`.

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 m theta = sin n theta , then theta =

cos m theta-sin n theta=0

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

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 i sin theta i sin theta cos theta], then prove by principle of mathematical induction that A^(n)=[cos n theta i sin n theta i sin n theta cos n theta] for all n in N.

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

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]]