111 Linear Algebra True False Questions

[@blackpenredpen]

Here's the file: sites.uci.edu/ptabrizi/files/2019/03/True-False.pdf Time Stamp Marathon Relay: Q1) 1:20 Q2) 5:00 Q3) 7:50 Q4) 12:09 Q5) 15:40 Q6) 18:30 Q7) 20:40 Q8) 22:00 Q9) 25:20 Q10) 28:00 Who's got next?

[@yajurphullera9396]

Yay!

[@ManiFunctor]

The Math Marathon Duo!

[@eliascaeiro5439]

Q11) 30:00 Q12) 33:00 Q13) 35:50 Q14) 39:20 Q15) 45:42 (I lost) Q16) 49:25 Q17) 53:10 Q18) 57:20 Q19) 59:40 Q20) 1:03:20 Q42/2) 1:04:30 (I lost again) Q42) 1:48:30

[@yajurphullera9396]

Wait, how is this comment from 8hours ago, when video was posted 15mins ago?

[@eliascaeiro5439]

@@yajurphullera9396 The video was probably unlisted before so only people with the link could access it.

[@IustinThe_Human]

Mom: go to sleep! Me : One more video, mom

[@jjwithanr]

Q11): 29:58 Q12): 33:05 Q13): 35:47 Q14): 39:25 Q15): 45:47 Q16): 49:26 Q17): 53:10 Q18): 56:55 Q19): 59:40 Q20): 1:03:17

[@MathIguess]

"Otherwise I'll do this for five hours and no one will ever know" xD

[@Rundas69420]

I actually have no words. Really great idea that you and BPRP had.

[@NoNTr1v1aL]

Is this what they call a healthy obsession?

[@blackpenredpen]

LOLLLLL agree!

[@Mircor55]

You're now a legend. Will watch this when I'm tired from studying so I have productive rests. Thank you so much!

[@zacharychanoi7544]

Deadass have a linear algebra final this Tuesday. My professor LOVES these types of problems

[@drpeyam]

Good luck!!!!! Also OMG, your last name rhymes with Hanoi! 😍 Went there last month

[@blackpenredpen]

48:00. “It’s all live” lolll

[@skeletonrowdie1768]

this is an awesome linear algebra quiz btw, really helps students get to think about properties

[@thegiantluffy7868]

just a quick question about the point 2:39:20 what if B' is already a basis of W ( for example B'= (10)(01) and we choose B= (10) we see that B isn't a basis for R²)

[@adamhernandez7847]

Thank you Professor Peyam!!! See you at the final tomorrow.

[@drpeyam]

Good luck!

[@cristiandavidmillergonzale710]

One of the best videos I have ever seen on any subject, thank you!

[@stephenbeck7222]

This is fun. I think my linear algebra class was the only math class where the teacher had an abundance of T/F questions for quizzes.

[@lolichaann743]

Dude... My Midterm/Endterm and Final Exam is T/F quiz 💀

[@koenth2359]

Congrats on your eleventyfirst T/F extravaganza! Now please, please do not disappear!

[@drpeyam]

Thank you :)

[@GitNat]

You are the goat for doing this, still watching in 2023

[@murielfang755]

My god, it is my life savor video. Gonna take my linear algebra exam next week. Bless me.

[@drpeyam]

Good luck!

[@murielfang755]

@@drpeyam And also thank you for teaching us different languages, haha. As a Chinese, I just learned how to say 10 in Shanghai dialect.

[@typo691]

13:40 No... 4 in Bengali is "char" as in "charcoal", not "thar"... Source: I'm Bengali

[@drpeyam]

Cool! Like in Farsi

[@skeletonrowdie1768]

Typo then i think peyam would see char as chore (thor) ;p

[@typo691]

@@skeletonrowdie1768 wdym?

[@skeletonrowdie1768]

Typo peyam was like tharthor, but as its pronounced char you can still do chore. I was going on about his joke :p nothing serious

[@typo691]

chore in Bengali means thief btw

[@frozenmoon998]

Purely amazing, Dr. Peyam!

[@williamyang3565]

I remember when you made this video for our class! Can't believe it's been one year already.

[@drpeyam]

Awwwwww, time goes by! ❤️ Hahaha, when I taught 3A this fall, whenever I made a joke, I kept imagining you saying XD, hahaha

[@FaithInNachos]

Dr Peyam: - HELLOOOOOO Me: drop that like

[@harjitsingh7308]

I'm a computer science student in the UK, and have to study Linear Algebra as part of my course. Videos like these help me becase I'm not the best at maths I'm way better at programming haha

[@nathanisbored]

yay i made it through! linear algebra is gonna be so easy now next time i take it

[@drpeyam]

Wow, respect!!!! 😄

[@marce3893]

you need more subs! Your work is amazing! Also thanks to blackpenredped for featuring you in some of his videos, that's how I've discovered you :)

[@nakhlaahmad3238]

thank you so much. I finally understood the main concepts of linear algebra

[@benjaminbrady2385]

Gotta flex that Rolex

[@vilakshangupta380]

Dr peyam,. In problem 2, we can have 2 equations and 3 unknowns...for example equation (1)---> a=1 equation (2)---> (a-b)²+c²=0, we have a=1 , b=1 ,c=0 as the only solution. Provided that we talk about real numbers.

[@drpeyam]

Linear equations....

[@vilakshangupta380]

@@drpeyam Oh Yeah....I totally forgot that....!

[@AdoNir]

Loved the shoe & sock analogy at question 20! Will use it with my students!

[@sugarfrosted2005]

The way I remember the order of rows and columns is by visualizing a column covered in roses.

[@benjaminbrat3922]

1:20:00 very nice watch! average running marathon time is 4h 22 min, coïncidence? I think not!

[@shiina_mahiru_9067]

I just finished linear algebra final yesterday 😂 btw, have fun for your trips in spring break, and pre-recording videos 😂

[@deept3215]

Q3: let K be the field {0, 1} then if you have A = [0] the "system" Ax = 0 has exactly 2 solutions. This example is easily translated into a proper "system" of equations if you need so: for example let, in the same field, A be [1 0, 0 0] then the system Ax=0 has exactly 2 solutions: [0 0]T and [0 1]T. You can only exclude there are 2 solutions when there are no subspaces of 2 elements, for example if you assume to be working on R

[@drpeyam]

K = R or C in that class

[@sherllymentalism4756]

As an amature memory athlete and linear alg nerd, Im so impressed and ah, love you man

[@thegiantluffy7868]

another thing about 2:47:43 are b1 to bn the columns of P ?

[@tablejason]

Question 2 (5:00): what about x^2+y^2+z^2=0 defined in the real field?

[@drpeyam]

Jason Cheng Linear equations :(

[@tablejason]

@@drpeyam Oh right thanks

[@catholic_zoomer_bro]

Next up, Flammable maths will do a 100 differentiation problems :P

[@LS-Moto]

Over 4 hours of algebra problems? ... and that with the intoxication and loveable character and enthusiasm of Dr. Peyam? ..... yep, cancer just got its death sentence.... bring it on :)

[@LS-Moto]

Vielen Dank für das Herzchen :)

[@drpeyam]

Awwwww, danke!!! 🙂 Gute Besserung!

[@LS-Moto]

@@drpeyam Vielen Dank... 😀😄

[@Л.С.Мото]

Get well as fast as you can... take the integral from sick to healthy of cancer^(chemo/radiation), and differentiate it until it hits 0!!! .... joke aside, best wishes and stay strong. Afterwards, you'll be pretty badass when you can proudly call yourself a cancer survivor

[@LS-Moto]

@@Л.С.Мото thank you :) ... someone should work that joke of yours out, and turn it into a meme 😂 ....other than that, one more chemo session, and then hopefully I'm done 💪

[@afifakimih8823]

Dr.peyam is wearing an invicta watch..!!

[@flmew8133]

Your videos make me smile and smarter! 👾🤍 thanks!! I Can watch that even tired!

[@sandrorodriguez6918]

I knew this would become a trend. Thanks for spending the time 😁

[@Л.С.Мото]

I think we should collect in the comments a list of Integral and linear algebra problems, and have blackpenredpen and Dr. Peyam do a Math battle.... who can solve all problems the quickest.... what do you say guys?

[@brucefrizzell4221]

Well done. I enjoyed the tour of our world languages and I learned a lot of linear algebra . How do you make you chocolate cake shake ?

[@himanshumallick2269]

Dr peyam, plz upload your 2006 Numa Numa video. Eagerly waiting for it

[@blackpenredpen]

I have it!!! : ))))

[@himanshumallick2269]

@@blackpenredpen Cmon Steve, plz upload it! When I had seen a glimpse of that video, Dr Peyam's enjoyment refreshed my mood and filled me with enthusiasm. Sadly, lost track of that video where I saw it.

[@geometrydashmega238]

@@himanshumallick2269 epsilon delta in spanish video

[@sergioh5515]

I'm late but I wanted to say this is AMAZING!!!!!!!!!! I love you 💕💕💕🤷‍♂️😊

[@drpeyam]

Never too late to give a compliment

[@supportmain2269]

Question 19: shouldn't we add the hypothesis that A is a square matrix? Since if A is not a square matrix A + (A)transposed is not defined

[@drpeyam]

Assume A is such that it is defined

[@ahmadafifverdiansyaputra7159]

Whoa , you're really strong... I'm serious , whoa!

[@catlover1732]

Sir, this may be a little overdramatic, but I love you for this 😍

[@gladiatorgames9536]

Hello Dr. Peyam for the first question, the 3rd equation of the system is just the same as the first one so we have in reality 2 equation, no?

[@dolevgo8535]

7:50 isnt it possible on Z2 though?

[@drpeyam]

I’m assuming R or C

[@dgrandlapinblanc]

Hello Dr Peyam's. Thanks for all that. A big work and not superficially. Personally i like watching your videos. I improve my english and i learn more maths. For me it's hollidays and i hope that you will have a great spring break in thailland. Thank you very much and at the next time. Bye.

[@saqhorov]

I JUST took my final. TWO DAYS AGO. If I had seen this TWO DAYS EARLIER. My god. So sad, true false are the hardest for me to study for. This seriously needs more rep so others can find it before it’s too late for them as well

[@drpeyam]

I know, right? 😥 I worked so hard on it too!

[@adrianofernandosturaro142]

Dr. Peyam Question 18 does stil holds if the matrices are not square?

[@nahilarious8217]

the enthusiasm...i love it

[@francescotriboli8296]

Are we allowed to recall the property of not "generating" subspace from union of two previous, to prove the 43rd question? I mean, if we consider the basis of W-subspace as union of the vectors who generate the V-space by the 41st answer we get the contradiction. Hope I got clear and it was not a nonsense...

[@rupkumarsarkar5480]

Dear sir I'm INDIA 🇮🇳 Love from INDIA. Sir discuss about real analysis / calculus of one variable question

[@drpeyam]

Look at my playlists

[@ramchandracheke]

Today this channel has 111k subscriber :)

[@rishabhshirke1175]

How is this question 49 different from question 47? in 47 we said the dimensions of the null space is 4 but the vectors are in R^6 but in Q49) col space is in R^m but the dimension is 2.... making the statement true right?

[@sandorszabo2470]

Hi Peyam, What's your opinion about translation? It can be set in KZbin somewhere, community contribution. Also for other Linear Algebra videos. It also helped people with hearing problems.

[@drpeyam]

Sure, what about it?

[@sandorszabo2470]

@@drpeyam I would like to make Hungarian caption. I never did such thing earlier, but I hope I can do it. As I read the comments there are many viewers from different countries. Maybe they also take part in a translation project. Please, take some moment about the project amara.org/en/

[@gaurangagarwal3243]

Hmmm seems legit to me at least the hindi translations of this website is far better than Google's translate.

[@keldonchase4492]

At 2:09:58, he says: That said, if it has nm pivot rows, then it is true that the Column Space is R^m. What did he mean to say? nm is really throwing me off.

[@drpeyam]

m, basically a pivot in every column

[@keldonchase4492]

Thank you for clearing that up!@@drpeyam

[@fireemblem2770]

So, do I need to take a linear algebra class now?

[@saminzamil3023]

Thus our teacher created history!

[@thebigfatcat8711]

i didn’t even start linear algebra... why am i watching this 😆

[@Martin-YouT]

Nice Rolex🔥🔥🔥

[@shandyverdyo7688]

Great brother! 😃👍

[@doggiegirls]

WHERE WAS THIS BEFORE MY LINEAR ALGEBRA FINAL???????

[@yajurphullera9396]

Lets go! Linear Algebra.

[@bite027_ketansharma6]

111 is considered to be a holy number in Hinduism

[@drpeyam]

I had no idea! Thank you 😊

[@abdifatahbarkhad8890]

Really l like a math professor peyam lets communicate in order to discuss math problems

[@bobbypeng9128]

Do Q85 and Q108 contradict each other?

[@drpeyam]

No, in Q108 the matrix is symmetric

[@sugarfrosted2005]

But peyam, a 1D solution in Z_2 has two solutions. :p

[@l7365714]

Excuse me, I want ask about Q31 Why it stays true even if A isn't invertible Q63 What else I only pick [1, 0] to be B?

[@rishabhshirke1175]

the fact that we can convert A to I using row transformations indicates that A is invertable.

[@Zonnymaka]

Q9 is undecided, maybe false, maybre true. If a base is composed by 3 l.i. vectors, all i can deduce from that is that we are in R^n with n>2.

[@Zonnymaka]

1:16:34 Perfect pronunciation! P.S. Q27 Another way to show that is noticing that Rk(AB)=min(Rk(A),Rk(B).

[@Zonnymaka]

Q35 |A^2|+k|A|=-1 for whatever real k. Since |A^2|=|A||A|, then if A is not an invertible matrix we would have 0+k*0=-1

[@Zonnymaka]

Q36 If |A^(-1)|=-|A| then |A||A^(-1)|=-|A||A| then -|I|=-1=-|A^2| which is not possibile

[@Zonnymaka]

Q37 Rk(AA)=Rk(A) because in general Rk(AB)=min(Rk(A),Rk(B) So if AA is invertible A must have rank max...in other word A is invertible and so it is A^n.

[@WriteRightMathNation]

At 6:50, you say that a column is a variable. This is false. A column corresponds to a variable, but is is not a variable.

[@thedoublehelix5661]

14:02 I'm Bengali and we pronounce it "char" like Farsi lmao Also for #14 (41:11) and #56 (2:20:48) isn't it true if your scalar field is Q Also for 29 Malayalam is south Indian not Malaysian (script is very fancy and cool looking too)

[@bprptw]

I still don’t see the thumbnail. Can anyone see it???

[@factsheet4930]

I think question 3 could be true if you take the binary field 🤔 Because you either get 1 solution, no solutions, or that every element in the field you are considering is a solution, in the case of the real numbers which was used it is only 1, 0 or infinite solutions.

[@drpeyam]

F = R or C here

[@krishnasimha8097]

I love the way he laughs

[@vanilla3M]

Fabulous video. Are you challenging Blackpendredpen's Calculus Marathon? haha

[@drpeyam]

He challenged me, lol

[@benjaminarias5193]

Omg this is awesome!!!

[@skeletonrowdie1768]

yes i am going to literally make every comment that comes up in my mind sorry ;p

[@mythicqal]

so close to the finish line, i watched this video in segments, im at 90 right now

[@drpeyam]

Woooow good job!!

[@saitaro]

Peyam in bookmarks - balance in life.

[@rupeshmishra-vnc]

Yeh reply I'm watching ur video regular. My question is An orthonormal set of vectors is a linearly independent set. Explain this

[@drpeyam]

It’s in the video

[@rupeshmishra-vnc]

@@drpeyam tq sir

[@sonusaini-nm9xc]

Very very helpful

[@jaredzhou5042]

The answer to 70th question given in the pdf seems false

[@MorphysinceC.E]

Number 4 in bengali is called "chaar" quite similar to Farsi.. I suppose

[@skeletonrowdie1768]

x^2+1 as a single equation cannot by itself be a system with two solutions?

[@skeletonrowdie1768]

aaaaand now i get why it's called linear algebra lol

[@seola4365]

1:16:36 💚🤍❤️🫡

[@joaquinvanloon7341]

Respect, thanks for helping me. Greetings from the Netherlands (48: achtenveertig haha)

[@bite027_ketansharma6]

BPRP and Dr.Peyam are doing a series which I think would be fair to call Bruce Lee mathematics

[@kennethxing5380]

Just letting you know that your file for the solutions is broken. Here is the correct one, I Found it on your site: sites.uci.edu/ptabrizi/files/2019/12/True-False-Solutions.pdf

[@drpeyam]

Thank you! Fixed it

[@davidk7212]

THIS IS AWESOME

[@8dolev]

I'm pretty sure you made up most of these languages.

[@drpeyam]

Hahaha, I swear I didn’t 😂😂😂

[@anglaismoyen]

Can someone make this into an Anki deck?

[@ilteryesilova7301]

Greetings from Turkey :)

[@drpeyam]

Merhaba :)

[@ilteryesilova7301]

@@drpeyam Merhabaa :))

[@shansiddiqui8673]

Nice watch

[@mfdsrax2]

What is that 10th language again?

[@drpeyam]

Cantonese :) 10 = Tsa

[@AdoNir]

Question 3 is actually true, if you are over the field of Z2 and have only 1 free var.

[@ElifArslan-l9g]

thank you

[@amazingalex1623]

3:06:45

[@amazingalex1623]

3:19:25

[@amazingalex1623]

3:23:36

[@amazingalex1623]

3:43:30

[@amazingalex1623]

3:45:46

[@amazingalex1623]

4:14:48