Problem

The matrix form of the recursion relationuo = 1, u1=2, un = 6un-1 − 8un-2, n > 2is wri...

The matrix form of the recursion relation

uo = 1, u1=2, un = 6un-1 − 8un-2, n > 2

is written as

Wn-1 = Awn-2,

where

 wn-2 = , wn-1 = ,

  and =

(a) Using

 W0 = =

compute w1, w2, w3, and w4.Then make a list of the terms of the recurrence relation u2, u3, u4, u5.


(b) Express wn-1 as a matrix times w0.

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