Solving the Fibonacci Sequence with Matrix Exponentiation

This is a tutorial to find large fibonacci numbers using matrix exponentiation, speeded up with binary exponentiation.
The part where dynamic programming comes in, is when storing the 2th powers of the base matrix.

We do this using an array where each element is populated using the square of the last element. a[i]=a[i-1]^2.
The fibonacci sequence can be evaluated using the recursive matrix form as shown in this lecture. This lets us evaluate the Nth fibonacci term in O(logN)

References:
Fibonacci Numbers:

Matrix exponentiation:

Solving Recurrences:

#fibonacci #matrix-exponentiation #dynamic-programming

[killuazoldyck]

Its always that one Indian person that explains it better than your learning materials and the teacher combined

[ITACHIUCHIHA-drsz]

6 years later, and still the best video explaining this on youtube!

[alessandrocamillo]

You’ve been the first and the best to clearly explain the math behind fast Fibonacci matrix computation .

[shreyasahu]

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[manishankar]

I loved the Maths involved into this problem, fascinated!

[FeroChau]

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[iprakhar]

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Something I like about you is that you choose your words very carefully before speaking just so that every kind of audience can understand you.

[shreyaghosh]

Wow! Thank you for making it so simple to understand. This was the clearest explanation of matrix exponentiation.

[akhilesh]

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[Manojshankaraj]

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[siddhantsharma]

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[andermerketegi]

It really helped me understand how to apply Matrix Exponentiation for my particular problem. Great video, thanks!

[subhodip]

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[LuisaGrigorescu]

Great explanation! You made math much easier to understand. All the explanations from the internet are to mathematical and imply having prior knowledge to all these terms and formulaes.

[theIcemanYT]

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[vidhansharma]

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[viditmathur]

your explanations are awesome, I really like the mathematical explanations . This video really helped me understand the log(n) approach to find fibonacci sequence which i couldn't understand from texts :D.

[abhimanyubahree]

Wow solid explaination!!! Very easy to understand

[beautifultime]

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[khudkikhoz]

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