Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (31 of 35) Power Method A^n, General Eqn.***

In this video I will find A^n=? (A=2x2 matrix is a general matrix) by using the diagonalization and power method

Next video in this series can be seen at:

[ernestbeckham]

I have completed precalculus videos professor. I really thank to you, professor 💖💖💖. I learned lot of things from you. And I thank to Mrs. Michael. I know you help to professor to make videos. I watched that in some videos 😃😃. GOD bless you both. 💖💖

[nayabali]

Thank you, Mr. and Mrs. van Biezen, for your superb Linear Algebra series and your combined time and efforts in making this available. Your concise videos provide invaluable knowledge with easy pausing and practice, aided by quick review thumbnails. Look forward to watching your other series over the next months.

They've greatly helped my understanding of essential concepts, filling any gaps in my understanding from class and refreshing topics I may have overlooked or just forgotten due to the span of time that has passed. This is helping me be more prepared and spend more time on tackling more advanced topics in linear algebra, vector algebra, vector calculus, ODEs, and PDEs necessary for my upcoming comprehensive exam in my degree program.

[EzcanSofu]

Your channel is a whole university. Thank you for your labor.

[redpineapple]

This is truly amazing and you deserve all the praise you can get

[emmartey]

Thank you Sir. You have made it easier for me to revise my undergraduate Linear Algebra. Love from Ghana!

[Genesh]

This was a a great series. I really hope that this topic gets fleshed out more in the future.

[classmate]

Sir, Million of thanks for these lectures
Please add more videos.

[maileduffy]

This is fantastic! You should have more subscribers, sir.

[ccuuttww]

For real life application we don't use power method or inverse power method
if u still want to use it combine it with rayliegh quotient
the common problems about the eigen values are accuracy and speed for a 10 V 10 matrix it takes too long to calculate
we always Use QR algorithm A=QR either u use gram schmidt for Q or u can use householder reflector for Q
if u want to speed up the process u can combine with hessbreng form and shift
I haven't go through all the videos but the QR is one of the most most most important decomposition in linear algebra

[godfreypigott]

Any chance of doing the SVD, PCA, pseudoinverse and projection matrices?

[DarkXFast]

I guess I'll have to watch vector spaces from someone else. Do you have any recommendations?

[tubbytj]

Are there any more videos in this playlist? This ch.3 playlist ends at 31 of 35.