My question is as follows,
Let B = ( 1/sq.rt.2 -1/sq.rt.2)
( 1/sq.rt.2 1/sq.rt.2)
(sq.rt obviously meaning square root)
Calculate B to the power of 100.
Is there a formula for this or is it a very time consuming question?
Thanks for your help
My question is as follows,
Let B = ( 1/sq.rt.2 -1/sq.rt.2)
( 1/sq.rt.2 1/sq.rt.2)
(sq.rt obviously meaning square root)
Calculate B to the power of 100.
Is there a formula for this or is it a very time consuming question?
Thanks for your help
First factor out the radical. The way to do this is to use matrix diagnolization. Find the eigenvectors and form a matrix out of them. So you want to write where is a diagnol matrix. Then it means but is easy to compute because it is a diagnol matrix.