The Eigenvalue Power Method Example #1 - Linear Algebra Example Problems

The "power method" is a numerical algorithm for approximating the largest eigenvalue of a matrix. This algorithm works best when there is a "dominant" eigenvalue of the matrix. After making an initial guess, the algorithm performs an iterative computation that results in a sequence of values that converge to the largest eigenvalue. The vector that is updated in each iteration of the algorithm also converges to the eigenvector associated with the largest eigenvalue.

This video outlines the steps of this algorithm and then works two specific examples of the eigenvalue power method to demonstrate how the algorithm works.

[khushbukishnani]

I watched whole playlist of linear algebra and my concepts got a way better than they were before. Thank you so much sir for providing us with so many questions and concepts. Your lectures are too clear, awesome and precise. :)

[wastelife]

i'm a foreigner but this video is really helpful for my studying power method.

[rovibb]

best video about that topic, you are awesome

[prateeksenapati]

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It's one of the most engaging and clearly explained series ever on YouTube!!

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[thatguymax]

Great video, helped me complete my lab for numerical methods!

[MAlab-umzy]

Thanks for this complete playlist... God Bless You

[miabiernat]

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[SomeOfOthers]

Love the videos! I guess you've moved on from linear algebra, but I'd love a video from you on singular value decomposition!

[khushbukishnani]

Sir it would be of great help if you could make a video on LU Decomposition method.Thank you!

[leboeapolinyane]

But why dont we have an entry of 1 on the second example as previously said on the the first example?

[김태훈-sge]

how do I have to do this loop in order to get lambda=-2 in your example?
kinda stuck in this thought for hours but can't help myself :(