Sorry to plague the CORe with another help thread, but I'm sure there are enough people in here that like this kinda stuff.

My problem is using the stupid math software "Maple". If anyone is proficient with maple, I'd appreciate your input.

Here's what was asked:

code:

/ F(i+1)  F(i)  \   / 1 1 \ i
\ F(i)    F(i-1)/ = \ 1 0 /

Use Maple to diagonalize the right hand side matrix and find a general
formula for F(i).

Where F(0)=0, F(1)=1, F(2)=1, F(3)=2... -> 0,1,1,2,3,5,8,13,21 etc.

I'm trying to get maple to give me the general solution for the fibonacci sequence. I've solved it by hand and got this:

Where Lambda1 = (1+sqrt(5))/2 and Lambda2 = (1-sqrt(5))/2 (both eigenvalues of the 2x2 Fibonacci matrix).

I can get maple to solve for specific instances, e.g. F(2), F(9), etc. The problem is just getting maple to show a general solution like the one in the image above.

Basically I've got "A^n = P * B^n * P^-1" Where A is the 2x2 fibonacci matrix (1,1; 1,0) P is a matrix whose columns are the eigenvectors of A. And the solution F(i) is the element in the second row and the first column of the resulting matrix.

If none of my explanations made any sense, I can show you my maple file if needed.

Thanks!

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I love grapes

I want to kill myself after reading that.

6

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quote:

Originally posted by Meat187 Because "American Football" is neither played with a ball nor with your feet. It should be called Handegg.

I want to touch myself after reading that.

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quote:

Originally posted by idoru I want to kill myself after reading that.

Yeah I know. Reading math that's written in plain text makes my eyes bleed too. If you want I can write it down and post a picture.

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I love grapes

i

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quote:

Originally posted by AustralianGQ im a failure with females...i will be the real 40 year old virgin i guarentee you

you are way too good at drawing deltas.
are you a robot?
robots can do math.

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www.misterfalconmusic.com

quote:

Originally posted by kadomony you are way too good at drawing deltas. are you a robot? robots can do math.

Those are Lambdas.

And yes, I am a robot.

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I love grapes

Mmmmm, roast lambda.

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quote:

Originally posted by Pokit Those are Lambdas. And yes, I am a robot.

i, for one, welcome our new robot overlords.

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www.misterfalconmusic.com

quote:

Originally posted by Pokit Yeah I know. Reading math that's written in plain text makes my eyes bleed too. If you want I can write it down and post a picture.

I was talking about math in general. Showing me a picture would only make my eyes bleed.

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quote:

Scott has been introduced to the rave scene, and Ecstasy, by Craig. The two of them go out on the weekends, with some of Craigs friends, and stay up all night, dancing in a drug-fueled trance.

Last edited by Moral Hazard on Apr-26-2011 at 07:48