That's what I'm getting for D too.

Try working out D^2 and D^3. You'll spot a clear pattern and shouldn't have difficulty 'guessing' what D^n would be.

Finally consider

(PDP -¹) (PDP -¹ ) (PDP -¹ ) (PDP -¹ )…. (PDP -¹ ) = P D (P -¹P) D (P -¹P) D (P -¹P) D (P -¹P) D ….D P -¹ = P D^n P -¹

Hope that helps,

Bob

]]>I've inserted [math/math] tags to make your matrices appear properly.

If you find the inverse for P then you can do this:

That should get you started. Post back D if you need more.

Bob

]]>(a) Let

.Find the

such that

(b) Find a formula for

.(You don't need to prove your answer, but explain how you found it.)

(c) Using parts (a) and (b), find a formula for

I haven't been able to get anywhere on this problem; an explained solution would be much appreciated. Thanks!

]]>