3 x 3 eigenvalues and eigenvectors

In this video, I showed how to find eigenvalues and eigenvectors of a 3x3 matrix
Watch detailed explanation of eigenvectors here
• Eigenvalues and Eigenv...
The other eigenvectors are:
for lambda = 2, [ 2 1 0 ]
for lambda = 3, [ 1 2 1 ]

[@shumiraimudima999]

where have you been all my life ?

[@TheExplosivezzpw]

That’s what I’m saying

[@user-wm1fg6ul8n]

You have got way too much style to be this good of a math teacher

[@MrBPC76]

It has been so long since I have taken, or even used, most of the math in your videos, but I watch them every time you post one. Thank you for giving me exercises to keep my brain in shape!

[@appumanju2337]

Ul

[@prestonlauu]

this has to be the most helpful video for this subject, thank you so much

[@johnmiller6]

by far the most easy to understand explanation of this subject.. thank you.

[@FoudakongWilliam]

i appreciate the way of explaining , thanks 🙏

[@mereal250]

Love this man.

[@user-gg4yw4mf8b]

Love the Explanation !! very clear

[@eslamhany2483]

I really appreciate your explanation and your videos 🖤🌠

[@vishujk01928]

Thankyou sir ,great explanation cleared all my doubt.

[@bryanrivera2469]

Great video, so helpful!

[@shofiyazha]

finally, perfect teacher

[@v4dl45]

Lovely video!!! Thank you brother!!

[@punditgi]

Prime Newtons makes this topic clear as a bell! 😊

[@Miss_Math_]

Absolutely amazing

[@syedmuhammadalibukhari1875]

Thank you soo much. You solved my problem

[@ridwanalawode]

evaluate the integral of I = ∫[1,0] (x + y) dx from point A(0,1) to point B(0,-1) along the semicircle y = √(1-x²),

[@muhammedahmed8056]

nice presentation thank you

[@gameronyx]

Exact same question i saw in my past questions 😮

[@princesspeaceephraim4645]

Hello Sir...
How do you factorize???😢

[@Sele-rk1jk]

what shall we do when we plug in one of the eigen values then one of the column of the chxcs polynomial becomes zero?
thank you for your help.

[@christoskettenis880]

Nice example

[@YitagesuAyalkibet-sp3em]

I like your video a lot

[@dylanbailey5776]

You're the man

[@user-df5nl7ov1i]

You are great thanks guys so much 10Q a lot

[@surendrakverma555]

Thanks Sir 🙏

[@matthewstuart8723]

Good video thank you

[@sametaltndal1787]

In some sources, we need to convert it to echelon form after lambda placement. What is the difference?

[@TJBEATSAMV]

Thanks !!

[@yaredgirma4047]

Keep it up bro

[@AlirezaNabavian-eu6fz]

Excellent

[@jaanu_10]

Love ur smile sir❤

[@8kw7mx9]

please more linear algebra

[@ferdinandinc2899]

I love you man. I owe you my degree

[@artem_mma]

Legend

[@khanSameerKhan-sz7gn]

Why do you not use calculater to find eigenvalues

[@holyshit922]

Maybe case when we dont have full set of eigenvectors

[@heroasik5423]

If |P|=1 and D=diagonal matrix and A=(invP)DP then we can construct as many square matrix as we want whose eigen values all integers

[@JourneyThroughMath]

Not the best video to post on but would you consider doing a lecture series on differential equations more to the tune of how a class would look?

[@PrimeNewtons]

I am planning long classroom-videos but not now. I need to get some things out of the way first. I promise, many series are in the making.

[@JourneyThroughMath]

@@PrimeNewtons I look forward to it!

[@saqibiqbal1794]

Does it matter which order we put the eigenvalues? For example if we did λ1 = 3, λ2 =2 , λ3 =1? I know how to answer this but my lecturer always has a different order of eigen values, which also changes the order of the eigen vectors

[@sarasaleem7420]

Did you figure out if the order matters or not, I'm also stuck on the same issue. Cause if we change the order of eigenvalues, i think we get different eigenvectors as well

[@fearmyshadow4685]

@@sarasaleem7420 yes the order matters when you are checking for diagonalization

[@MBSall]

Thanks prime newtons

[@kornelviktor6985]

Like the new profile picture very much

[@SunandMoon7-7]

i need some help, for lamda=2 i got [1 2 0] all of x are in term of x1, my ans isnt same as sir, if lamda=2 , in term of x2 i will get[ 2 1 0] which will be same as sir. does that mean for every diff Vector i can choose diff x to be in term of? or for example i choose x1,x2,x3 to be in term of x1 for lamda=1, lamda=2and lamda=3, all x have to in term of x1, sir did mention at the end of the video but just wanna double confirm which is the right one
or i calculate wrongly, not sure

[@matteofurbatto1805]

I dont often coment but great video

[@PrimeNewtons]

I appreciate the comment

[@zamathandscience1]

thats why hIs the GOAT!

[@english_with_bee]

❤❤❤😊

[@english_with_bee]

12:27

[@JSSTyger]

Yeah I got a big fat F in linear algebra. I started trying to reduce this to reduced row echelon form.

[@PrimeNewtons]

Now you know

[@mnqobimsizi4328]

man the past 2 year i was doing it by GUASSIAN ELIMINATION.

[@benahmedyasser7415]

Never stop learning
Those who stop learning stop living

[@tiara7624]

You cooked

[@utnavinofficial5097]

Yes 😂

[@MebreLala]

How could it be like that? When we make the first determinant of lambda 2, X3 = 0, then we put 2(X2) instead of X1, and how come the vector [2 1 0] is obtained when lambda = 2? I don't understand, is there anyone who can explain it to me?

[@dirklutz2818]

A (matrix) * [2 1 0] (Eigvector lambda2) = [4 2 0] = 2 (Eigval lambda2) * [2 1 0]
A (matrix) * [1 2 1] (Eigvector lambda3) = [3 6 3] = 3 (Eigval lambda3) * [1 2 1]
A is a matrix (an operator) that works on a vector to become a VALUE times that vector. That's the way to do a measurement in quantum mechanics.