The Fibonacci Numbers Using Linear Algebra (HD Version)

Linear Algebra: We derive the Binet Formula for the Fibonacci numbers using linear algebra. The technique involves using diagonalization to compute the power of a matrix.

Category:

Education

Tags:

• Mathematics
• linear
• algebra
• Binet
• formula
• Fibonacci
• numbers
• sequence
• recursive
• eigenvalue
• eigenvector
• basis
• diagonal
• matrix

[LeavingCertMaths]

Thanks for the linear algebra playlist.

I am largely self-taught in linear algebra from other online courses.

However, your "examples-heavy" course is an excellent refresher and consolidator of the key ideas. I find that viewing videos of the same material that is taken from different online courses, is excellent for self-study.

For me, this is better than attending college.

I hope to get to abstract algebra soon.

[MathDoctorBob]

@LeavingCertMaths You're welcome, and thanks for the support. I've always been a fan of teaching through examples. Believing a theorem is the first step to understanding the proof.

It will be interesting to see where education is in 5-10 years. I'm pretty amazed by what is available now.

My AA playlist is pretty thin at the moment. Benedict Gross from Harvard has an AA video course on his website. I haven't checked it out, but I hear it moves fast. - Bob

[Nicola72av]

Thanks a lot for this beautiful lesson!

Dear greetings from Italy.

[MathDoctorBob]

@Nicola72av You're welcome! Thank you for the kind words.  - Bob

[antichay]

Thanks, needed to know this and it was crystal clear! :)

[MathDoctorBob]

@antichay You're welcome!  Glad to be of help. - Bob

[MathDoctorBob]

@GodModeKing Knives and math. :) Filipino style, which makes my sticks eskrimas, but these are wood, not rattan.

[GodModeKing]

@MathDoctorBob WOW i train in knife fighting too lol. so your teaching with a honbo?

[MathDoctorBob]

@GodModeKing Thanks for the support! One answer is: it was the best object for pointing in the house. Since I preset my boards, it's good teaching to constantly point to where I am at.

Another answer: I used to study stick and knife fighting. These sticks were too heavy for practice, so I'm trying to get my money's worth. :) (See Favorites for a clip of Guru Dan Inosanto, one of Bruce Lee's inner circle.) - Bob

[GodModeKing]

i watch a lot of your videos (love math!) but i have to ask what is that stick you always have?