Sorry everyone, the first checking comprehension should be linearly dependent, that's my fault!

@carlitobrigante9740

3 жыл бұрын

All good man we love you

@jagjitmor7486

3 жыл бұрын

Sir nice explaination

@bmohan5032

3 жыл бұрын

Thank you sir

@bikram_kumar

3 жыл бұрын

Hmm, I thought I did a mistake and checked the answer by finding determinant, and got linear dependent as the answer :) Thanks for the comment.

@akashgautam4254

2 жыл бұрын

you are the absolute best

I'm a sophomore in college. I'm learning linear algebra this time, and it was hard because the professor's lecture at my school was too difficult. I found your channel while I was looking for a supplement, and it was very helpful. Thank you for this. I hope you will continue to make good videos.

@-evda-1993

3 ай бұрын

i thimk its dogma cuz its dodma cuz its dolma cuz its cuzma

@-evda-1993

3 ай бұрын

am i okay?

@-evda-1993

3 ай бұрын

non't notn't off course

Watching this 3 days before my midterm. Man, you saved my life

The most useful channel on KZread. I can't wait for your videos about English grammar or SAT vocabulary.

Once again, Professor Dave pulls through with the best, clearest, and shortest video on the topic.

Professor Dave, my sweet love. Its people like you that make this life worth living. Nothing I could ever say here could be enough to repay how much you've helped me and countless others. The sheer mass of your contribution to the art of midnight test cramming shakes me to the very core of my being. Truly you have shaped the academic standings and futures of many young lives in this modern world. My feeble words are like specks of dust before your colossal persona of generosity and concise mathematical explanations. Thank you

@danischn6246

Жыл бұрын

A poetic masterpiece

prof dave!!! a bundle of thanks to you, i wish i could have found your videos before, i am searching for good explanation of vector spaces from last 3 weeks and finally found today. it has literally made me calmer otherwise i was worried about how will i go through my semester exams. the best part of your channel, topicwise short videos with examples, a million times thanks! (you have explained linear transformation in the best way on the whole youtube, even better than my prof). lots of love and good luck!!! :)

i watched your videos since freshman in highschool and now I'm a sophomore in college you've always been so helpful man

I'm just learning this, but I'm pretty damn positive the answer to the 1st checking comprehension question is linearly dependent. If this was a sly trick to get me to go over determinants and linear dependence, well done Prof Dave.

@ProfessorDaveExplains

3 жыл бұрын

Yeah, that's my bad. You're right.

@maxsfriends6653

3 жыл бұрын

@@ProfessorDaveExplains It legit made me understand it more, because I really questioned myself and went over the material again. You're the best. Thank you!

@Flunkeren

Ай бұрын

Thank you for this comment. I was scratching my head and wondering if I had misunderstood something, lol.

You are doing a great job. I'm a freshman doing Linear Algebra, in Africa. This has been helpful.

What a great explanations... Thanks a lot Professor Dave!!!

You are a very bright and phenomenal teacher. Thank you so much.

Very informative, your way of teaching is simply awesome. Thanks for your contribution.

Oh wow, this video is great! I spent 6 weeks of the course trying to understand it and this really spoke to me

question one is linearly dependent since the determinant is 0

Very nice and useful video. Thanks professor!

I am really finding these videos very helpful. Could you please make some videos on the topic "Mathematical analysis" please?

this video is a life saver. Thank you so much!

very well explained video. I'm sick and have a quiz in 2 hours and I was able to clearly understand everything

Another math legend to the rescue! Thank you

That's what we call a super duper lecture that helps us break through the concepts like nothing... Thank you professor Dave for this wonderful lecture 😊

Thanks Mr DAVE keep going

Such a simple explanation thank you so much!

best intros ever, very short and right to point.

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The formal definition in our uni sucks. The lecturer sucks also too. I went on to work on my degree using the knowledge from this video and it helped me a ton.

Professor Dave, please do something to let people know that the first comprehension question should actually be linearly dependant as it really confused me. Thank you so much.

thank you i didn’t understand anything and failed my exams before i found this playlist!!!!

the linear independence of the polynomials were the only thing I skipped of this whole playlist. guess what came on my test today :') always watch the whole Professor Dave Explains video kids

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U r literally a life saver

awesome presentation I actually got the point home

Hey Dave, which do you think is the most accurate for the way the universe will end? Big Rip, Big Freeze, etc

@ProfessorDaveExplains

5 жыл бұрын

I think the rip, but we still don't know what dark energy is so that could very well change.

Just finished the first comprehensive question and it should be linear dep, i tried switching the vectors around in case i got it confused and i still got the det=0

@pawanpratap3930

3 жыл бұрын

Yeah you r right. I also found it linearly dependent by both method.

@mahad596

3 жыл бұрын

You are right

@MohamedAshraf-vh3jo

3 жыл бұрын

Same here 🤚

@srijanjha7850

2 жыл бұрын

Yeah i also found the same it might be a typo .

@immortalspiritualbeing7037

2 жыл бұрын

I got the same answer

thanks, needed this

I think I sprained my brain trying to keep up.

Wow, that is really anice video, I have learnt alot from your video, keep it up

Best lecture thank you!!!

It make sence 🥹 Thank You soooo much ❤

This video ended my professor's whole career. Big W!!!

Thank you so much!

Thank you Dave. This helps me a lot 😊

Great Video!!

Thanks

thank you professor dave

Thank you so much .

Thanks!

the first question in checking comprehension shouldn't be linearly dependent since the determinant is zero?

@antonholm114

4 жыл бұрын

Yeah it is linearly dependent, also = + 2.

@bernab

4 жыл бұрын

@@antonholm114 I think so. I made calcultations and the determinant was -5+10-5, so, it means 0. 3 linearly dependent vectors.

@tella5357

3 жыл бұрын

@Mostafa AL Fatih lmao

@mahimmarufuzzaman3588

3 жыл бұрын

Yes, it is Linearly Dependent. I checked both row reduction and determinant method.

@stradok4106

Жыл бұрын

I had also stumbled upon such concepts. You see the thing is a matrix having a trivial solution means that on putting the unknown in the linear eq we should get zero so Ax=0 but in case of a determinent there are no unknown variables an determinent is purely of enteries of a so both have different results Having a non singular determinent means that this matrix has linearly independent coloumns as there is a property that states if any two coloumns of a matrix are identicle in any way then |A| = 0

You are the best proff

Isn't the answer to the first comprehensive question linearly dependent? The determinant being 0.

@mkacademy3908

2 жыл бұрын

kzread.info/dash/bejne/dZWTq6ahf7WeZps.html Linear Independence and dependence of vectors

@SM-yq7oo

2 жыл бұрын

@@mkacademy3908 hello! how are you?

@arsojib

Жыл бұрын

yes

Thanks sir!!!

THANK YOU!

thank yu sooooo much teacher great job

love your videos

Simplicity is the most elegant form of complexity

Iam from Egypt...thank you for your explanation ❤❤

Thank you Sir

After sometime my brain, He knows a lot about science stuff professor dave explains [flute bgm rolls]😂😂😂

Interesting explanation, different from the typical explanations in engineering mathematics classes. This video is definitely easier to understand but seems lacking in the number of theorems covered

@vuwla

3 ай бұрын

It would be really nice if you could apply this easy explanations on a wider range of thopics and deeper level, it would help many crash their maths courses completely!

Best video

Can anyone explain how the checking comprehension's second question is Linearly Independent, After row reducing it into its echelon form im not getting an Identity matrix . Any help is greatly appretiated !!

@Flunkeren

Ай бұрын

This is the matrix you get from combining vectors a, b, c: [ 1, -1, 2] [ -3, -1, -2] [2, 2, -3] [1, 5, 3] Done right, row reducing that matrix will eventually give you: [1, -1, 2] [0, 1, -1] [0, 0, 1] [0, 0, 0] So, writing that up with scalars and equating to zero, we get: c_1 - c_2 + 2c_3 = 0 c_2 - c_3 = 0 c_3 = 0 Inserting c_3 into the first 2 equations, you will get: c_1 = 0 c_2 = 0 c_3 = 0 This makes the vectors linearly independent.

sir in checking comprehension 1st question is linearly dependent

Thank you

Am just joining my university but am getting there to lecture my lecturer now😂. Thanks Prof

YOU ARE A LIVE SAVER, i've being reading my text book for like a week trying to understand vector space and this stuff but just watching your videos taught me so much, thank you so much dude

First time taking your lecture from Pakistan and love u ❣️❣️

In the 2nd comprehension question should the vector be written in vertical or horizontal positions to solve elementary row operations? I mean 4*3 matrix or 3*4 matrix to start solving?

@CHEESYhairyGASH

2 жыл бұрын

I wrote them vertically. First time I did it I got linearly independent, second time I tried again after going to this video: kzread.info/dash/bejne/hYOusZt-k7TKgcY.html I got linearly independent the second time around, but it took 11 rounds of elementary row operations.

I was watching his video 2 years ago when I was working on Undergrad courses, and I am in Grad school now still watching his videos. I love this Jesus looking dude. DAmen!

Unsure if you still check comments on these videos, but in the example where you added 3 length 4 vectors together could you also add another length 4 vector with the value (0,0,0,0) in order to construct a square matrix then find its determinant to see if the 3 vectors are linearly independent?

@nativitymeldmacunat7163

Жыл бұрын

hi, i don't think so. a matrix with a column of zeros will always have a determinant equal to zero, but it is possible to have 3 linearly independent vectors (even though they are all of length 4). whenever you don't have a square matrix, you'll have to solve it through elementary row operations. :')

Comprehension 1 is DEpendent right?

@senmonkashonen5875

3 жыл бұрын

Yeh i think so, i just calculated it two times, it is sure dependent

Thanks.

Awesome

Professor Dave, the first homework question's answer is zero when solved using determinant method, then it should be Dependent and NOT Independent

Thanks king

7:41 i dont get it. This matrix is still going to be linearly independent though its last row is all zeros? And it is independent because we can see that all of the terms (I mean c1, c2, and c3) are equal to zero?

Thank u sir

What if one of the variables in the matrix does not have a value. For example, you are trying to find which of the following vectors are linearly independent: c1 (1, a, 0) + c2 (a, 0, 1) + c3 (0, 1, a)

@inxendere

Жыл бұрын

You simply put it as a 0 in the matrix and solve

prof please did you finish the calculus series ? thanks in advance

@ProfessorDaveExplains

5 жыл бұрын

yes i did, on to other topics!

@AhmedMohamed-wi5pu

5 жыл бұрын

@@ProfessorDaveExplains should i watch it before the modern physics series and what is your advice for me to get better in it ? and again thanks for the great effort Mr Dave

@ProfessorDaveExplains

5 жыл бұрын

hmm well i didn't include almost any math in my modern physics series so you can definitely watch those right away, i may learn more physics at a later date and do more rigorous tutorials on those subjects at that point.

how does one solve the 2nd problem in comprehension?

In the final test I have got 1 to be contradicting with yours

SO COOL. Tomorrow is my board exam and i understood this topic today. Thanks a lot professor.

How did the first illustration change from a+2b to 2a+b I thought b was the one with the coefficient of 2 and not a

second comprehension is also linearly dependent? Since there are 3 equations and 4 unknowns , even if we get leading 1 in all the rows, there will be one free variable....hence the vectors are linearly dependent....this goes without solving or reducting the matrix. Is my understanding correct? Kindly respond

Hi there, would it be possible to have a solution for the second comprehension question. I worked through the question 3 times and every time I get linearly dependent.

@CHEESYhairyGASH

2 жыл бұрын

Ok I tried it again and got linearly independent.

@OldHunter_blaidd

8 ай бұрын

@@CHEESYhairyGASH how?? I tried to solve it in multiple ways and always get linearly dependent, i always end up with 3 equations but 4 unknowns -> free variable -> linearly dependent Plz answer as fast as possible as i have an exam tomorrow 😅

thankyou sirr

What if lets say c1= any number other than 0, like 1. If c1=1, it is independent of any other cs, but it is not 0. Does this mean it is independent?

I am pretty sure that last both questions are linearly dependent..