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 April 7th, 2017, 12:56 PM #1 Member   Joined: Nov 2016 From: Kansas Posts: 56 Thanks: 0 Matrix Formula A=\begin{pmatrix} 1-a+a^{2} & 1-a \\ a-a^{2} & a\end{pmatrix} Calculate the formula for $A^{n}$ Last edited by ZMD; April 7th, 2017 at 01:01 PM.
 April 7th, 2017, 02:04 PM #2 Member   Joined: Nov 2016 From: Kansas Posts: 56 Thanks: 0 Solved. End.
 April 7th, 2017, 04:32 PM #3 Math Team     Joined: May 2013 From: The Astral plane Posts: 1,597 Thanks: 620 Math Focus: Wibbly wobbly timey-wimey stuff. Care to share your solution? Maybe it'll help someone else. -Dan
 April 7th, 2017, 04:52 PM #4 Member   Joined: Nov 2016 From: Kansas Posts: 56 Thanks: 0 Using A=$P^{-1}$DP $A^{n}$=$P^{-1}$$D^{n}$P Using this formula, the question can be solved.
 April 8th, 2017, 03:24 AM #5 Math Team   Joined: Jan 2015 From: Alabama Posts: 2,741 Thanks: 710 Yes, it can. What did you get for D and P?

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