How to find Eigenspaces

In this video we find an eigenspace of a 3x3 matrix. We first find the eigenvalues and from there we find its corresponding eigenspace.

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[OrganicStardust]

Helping students who self learn is a great deed! Thank u so much sir❤

[p_square]

Another episode of happy linear algebra learning. I am loving these linear algebra videos <3 Keep them coming!!!!

[MohamedHamdy-pblb]

always the teacher with a mustache saving the day😆. Thanks sir it was really helpful and inclusive

[malikmamouni]

Hi teach can you explain more in depth how did u came up with the second matrix please

[johnyivan]

But why didn't you put a negative ?because y is always negative

[tarekhankir]

What if we have two free variables instead?

[rnite]

Alright time for TMS 3 btw don't ask what happened to Nothingness eventually the show will tell you
4:Well it was fun with you 0
0:Yeah, but my time is up
4: *sees something in the sky*
4:Is it a flying charachter
0:Is it infinity
EMC: *crashes into the ground*
-1:No its just oily Macaroni
4:EMC welcome to the Elimination place, btw why did u get out
EMC:Its because of Ratio ugh and pi and i betrayed me and he is in the Alliance now
4:Dude Ratio is such a bafoon
Meanwhile in the competition
phi bar:Alright so uhh should we add teams
3:Yeah that would be cool
phi bar:Ok I think its cool too
Silver Ratio:Uhh is it gonna be that we make our own teams like bfb
theta:What does bfb even mean, buzy flying balloon
Silver Ratio:It means Battle for uhh what was it again
phi bar:Anyways there will be no next challenge now, so get teams forming now how many characters are in the show non eliminated
phi bar:So uhh there are how many are their again oh well doesnt matter, btw there have to be a max of 10 members
sin:So lets form a team together allience
cos:Yeah there are tan, sinh, cosh, arctanh, a, haversine and us so its 8 members rn
cosposter:Can I jo-
cos: *kicks cosposter* NO
pi:Ratio, i lets make a team
i:Yeah
pi:Also lets invite Silver
pi:Hey Silver wanna join our team
Silver Ratio:Sorry, but I dont join a team with such spoons like those besides im with e and phi
pi:Ok well if you dont wanna join guess we will force u to join
pi:Here its the scooper i can put u there
Silver Ratio:Oh no fine ill join, on one condition tho phi and e join too
phi:Ugh Silver theyre jerks please dont choose to join them, remember that you can drool mercury
Silver Ratio:Oh yeah why dont i do now *pukes mercury*
pi: *gets poisoned*
i:Lets recover pi *recovers pi*
i:pi dont ask silver to join us lets ask someone else
pi:Yeah guess i was too simpy, oh i know ill ask my lil brother to join
pi:Hey primey do you want to join
Primey:Yeah I always wanted to be in your allience, but I thought you guys were too cool for a 9 year old like me
Totient:Can I join too
pi:Sure
t:They say im-
theta:ALRIGHT WE GET IT NO NEED TO REPEAT IT LOOK ONE MORE TIME YOU ACT LIKE THIS AND I WILL TRY TO ELIMINATE YOU
t:Ok geez no need to get angered by a line btw-
theta:NO
t:Aight ur dead now *poisons theta*
Grass block: CE less make a team
Cursed Earth:Sure thing
Pumpkin pie:Oh I sure wanna get eaten
pi:Dude wtf, but you can join our team and why dont we let 3, edible pi and W in too
Pumpkin pie, 3, edible pi, W:Yeah lets join
NMR:Guys we need to make a team
Coffee mug:Yeah
Cookie:Yeah
Aash syed:Yes
NMR, Coffee mug, Cookie, Aash syed, B(ruh), Omega, NME, c: *Form an incomplete team just like everyone else*
pi:Aight out team is almost complete
cosposter:Can i join
pi:Yes
phi bar:pi's team is complete now pi what do you want the name to be
pi:Lets call it the uhh
Pumpkin pie:EEAAAATTTT MEEEE
phi bar:Aight the name is EEAAAATTTT MEEEE
Members of the team:pi, i, Ratio, Primey, Totient, Pumpkin pie, W, edible pi, 3, cosposter
phi bar:The ones that are alone so far are, 2, sqrt(2), t, theta wait where is nothing ness, oh well he wasnt relevant anyway
2: *wakes up* What happened, wait im not dumb anymore
3:Dude i thought u died, then i tried to recover u and it didnt work
phi:2 join our team
2:Yeah Ill join
Cursed Earth:Grassy which team do we join
Grass Block:Idk Cursey, but i think we should join sines team
Cursed Earth:Can we join your team
sinh:Yes you can since u beat us so bad
phi bar:sines team is complete now what should the name be
sin:Lets call it the unit circles
Grass
Cursed Earth:No worries Grassy, circles are normal to me im used to them
phi bar:Aight the team name is the unit circles
Members of the team:sin, cos, sinh, cosh, tan, arctanh, hava sin, a, GB, CE
NMR:Aight infinity is in there now we wait for one more
t:Can I join
NMR:Sure I guess
phi bar:NMRs Team is complete now what shall the name be
NMR:Go pick the name Coffee mug
Coffee mug:Dr Weselcouchs fan base
NMR:Good name Coffee mug
phi bar:Aight the team name is Dr Weselcouchs fan base
Members of the team:NMR, Coffee mug, Aash syed, Cookie, Infinity, t, NME, c, B(ruh), Omega
Meanwhile in Math Land
4:Seriously who would come up with such a bad team name dont get me wrong tho Dr Weselcouch is a great content creator.
Back in the competition
phi bar:So there are phi, e, Silver and 2 on a team 8, versinh and sqrt(2) also on a team and theta is by himself amd if they combine there are 8 members so it wouldve been 10 if 4 and EMC were still in the game, also since they were the last ones to combine they all are UFE so vote now anonymously
phi: *votes versinh* Dude whats with his obsession with conk.
e: *votes versinh* Dude he is obsessed with conk and its bad
Silver (Yes thats what ill call her now): *votes versinh* He is so weird
2: *votes versinh* Wow he thinks we are fake when he drank conk, what an idiot
8: *votes theta* Geez his screaming to t is hurting me, besides its called battle for bfdi not buzy flying balloon, cmon who even thinks that
versinh: *votes theta* He seems useless
sqrt(2): *votes 2* Dude there is no way that someone dumb can turn smart immediately, i think he is still dumb
theta: *votes versinh* Yeah ill vote him he is weird
phi bar:Aight everyone voted with 1 vote we have 2
phi bar:Btw everyone else on phis mini team has 0 votes aswell as 8 and sqrt(2) so its down to theta and versinh, Both of you have a reason to get out, versinh your weird and you lost faith in reality, not to mention your obsessed with conk and theta your bland and scream at t like cmon i get it you dont want to hear his line too often, but cmon you dont have to scream
phi THE RESULTS theta is safe with 2 votes and versinh IS ELIMINATED WITH 5 VOTES
8:No not versinh
phi bar:Any last words versinh
versinh:You know i kinda deserved it, but *phi presses button* WAIT dont scoop me yet
phi bar:Too late *versinh gets scooped up*
phi bar:In the 10th Episode there will be a surprise
Oh and ur cool btw