Diagonalization and power of a matrix

In this video I showed how to raise a diagonalizable matrix to a power.
Link to eigenvalues and eigenvector video

[studyfreak]

when I think of maths, I think of a gentle man like him teaching. you really are the best

[stephenlesliebrown]

"Do not confuse yourself"
Great advice! 🙂👍

[davidherrera]

rapidly becoming one of my favorites chanels on youtube, thanks a lot for the great videos.

[wiren]

ive never watched such a relaxing math tutorial

[deanno]

thank you for actually explaining every step, unlike my teachers

[aviatorjohnny]

you are the mentor figure every aspiring young man need in their life. Love your enthusiasm and energy !

[yeah]

I went from failing linear algebra to getting 80s on my exams thanks to your videos... Thank you so much

[olivemaunupau]

Just came across your video, this is the first math video i've found on youtube that really helped me understand what I was learning! You are a great teacher thank you so much for your help and enthusiasm :)

[zonnestralen]

you actually make me smile even though linear algebra is my least favorite course. thank you a lot

[necrolord]

If you had to calculate 2^100 and 3^100 without a calculator, you would probably do exponentiation by squaring. That takes advantage of this exponentiation property: (a^b)^c = a^(bc). So by repeated squaring of your last result, you can compute 2^2 then 2^4 then 2^8 then 2^16 then 2^32 then 2^64. Once you have those, then you can do this operation to get 2^100: 2^64*2^32*2^4. That means that you can calculate 2^100 by multiplying 8 times! The first multiplication would be 2*2=2^2. The second would be 2^2*2^2 = 2^4. The third would be 2^4*2^4=2^8. The fourth would be 2^8*2^8=2^16. The fifth would be 2^16*2^16 = 2^32. The sixth would be 2^32*2^32=2^64. The seventh would be 2^64*2^32=2^96. The eighth and final would be 2^96*2^4=2^100.

[ELITEDRAGONYT]

This guy needs more popularity truly underrated

[PioloAskal]

This channel is a gem! Great video quality, great lecture, great teacher with a great sense of fashion! One question though, shouldn't the inverse of the matrix be (1/det)[ d -b over -c a]?

[TankutTalu]

i watced all videos in the palylist, have learned too much. Thanks

[alphalunamare]

So for any nxn matrix there are n! sets, of numbers, of cardinality n^2, that lead to its diagonalisation. I didn't know that before :-) (just messing ... good video)

[cupckae]

Got this video in recommendation had a playback of first 30 seconds without clicking the video the great introduction made me open this in my other tab. Now I'm going To stalk your whole channel for Linear Algebra content 🤣

[alper]

Didn't know kamaru usman was that good at matrices

[jamesmunroe]

To raise anything to the 100th power, we multiply it by itself not 100 times, but 99 times.
To square it, we multiply it by itself once.
To cube it, we multiply it by itself twice... etc.

[georgesneaimeh]

Just to make sure, you did the inverse P wrong or not because you didn’t take into consideration the sign of the cofactors

[youknowwhaat]

never stop learning cze when you stop learning stop living clear mssg'''

[himanshu]

I was taught that for these kind of questions
First do A², ³, ⁴... until you see a pattern in these
Analyse that pattern and then put for the exponent asked

And it works, atleast the questions I solved were right