It took me 8 hours of browsing through books and videos to try to understand this chapter, but you explained it in 6 minutes and I understood it immediately! Thanks so much Dr Peyam, keep it up!
This is excellent for someone that just want to start working on problems without all the fatuige that comes with the ins and outs that text books and many lecturers bombard you with. I enjoy math but damn some people just want to make it harder than it has to be which is annoying. Thank you for this demo!
Awesooooooooommmnme... I had my initial doubts but you cleared all of them. Your attitude also makes it look very simple and believe me, it helped prepare my mind to understand. God bless you, Amen!
Finally understand what a basis is. A basis can be spanned to form a linear combination. Find the basis can help us find the the vectors which can be spanned into other vectors and this helps us get rid of information that is not needed with the original matrix A. Also, help find the dimension.
Honestly most of the comments are about how this helped a lot of people and it is very briefly and well explained, well , i will add one more to those type of comments :D ty so much professor.
Seriously i hate to Analyze about bases and its relationship with dim. But in this video i can easily understand about it, thanks allot please make more videos on bases and related things
Thank you so much for your class. I just didn't understand why we went back to the original matrix to pick the two vectors for the basis, instead of just using the ones we came up with in row reduction. (1,0,0) and (-3,1,0)
For a long time I found row reduction a colossal pain and a waste of time. But now I see that reducing a matrix gives you a GIANT amount of information all at once. So it's very much worth the time investment!
thank you doctor for this masterpiece I really just wonder what the diff between is make the set in the column and the row space and thank you again for this masterpiece.
wait so now, i don't have to go through checking on the linearly independence and the spans? i mean our prof said that we have to check if the matrix is L.I and it spans the V. so should i just skip these two steps and find the basis of column space and that's it? would it be considered correct answer? +thanks for the video by the way!!
@@drpeyam Let 𝐴 = [ 1 2 1 3 ] and 𝐵 = [ 1 0 2 1 ]. Find a basis for the subspace 𝐶𝑜𝑙(𝐴) ⋂ 𝐶𝑜𝑙(𝐵) and hence determine its dimension. This is my question. Not sure how to go about it. I know to find the colum space individually for each vector.
Sir, can you please tell me the answer of the question below: Let V be the vector space of all {2,4} matrices i) Determine the dimension of V ii) Determine the basis of V Thanks as you answer !
Hmmm I saw Gaussian Elimination and Echelon form and Reduced Echelon form but when doing linear systems in matrix form why do we sometime put or not put 0's filling the columns at the last row?
Wow ive sat through 6 hours of lectures for something you took 6 minutes to help me understand. Thank you!
Not only you brother... Thanks and thank you RUclips!
Cap but ok
It took me 8 hours of browsing through books and videos to try to understand this chapter, but you explained it in 6 minutes and I understood it immediately! Thanks so much Dr Peyam, keep it up!
Same
This is excellent for someone that just want to start working on problems without all the fatuige that comes with the ins and outs that text books and many lecturers bombard you with. I enjoy math but damn some people just want to make it harder than it has to be which is annoying. Thank you for this demo!
Thank you!
I see you've met my professors.
This guy is amazing his videos are quick and direct. Thank you so much, sir. I wish you nothing but the best in life.
Awesooooooooommmnme... I had my initial doubts but you cleared all of them. Your attitude also makes it look very simple and believe me, it helped prepare my mind to understand.
God bless you, Amen!
The best 6mins, is it possible to make few more of these truly helpful.
There’s a whole playlist!
Finally understand what a basis is. A basis can be spanned to form a linear combination. Find the basis can help us find the the vectors which can be spanned into other vectors and this helps us get rid of information that is not needed with the original matrix A. Also, help find the dimension.
Honestly most of the comments are about how this helped a lot of people and it is very briefly and well explained, well , i will add one more to those type of comments :D ty so much professor.
Thanks so much!!!
Subbed for how fast you are able to effectively get the point across, this is my second video of yours I've watched!
His explanation is so great, thank you so much, Dr Peyam
Thank you for saving me 6 hours before final a crown here for you my king 👑
My pleasure 😁
You always give the best explanations!
Seriously i hate to Analyze about bases and its relationship with dim. But in this video i can easily understand about it, thanks allot please make more videos on bases and related things
Best explanation got it immediately, thank you Dr Peyam!
Thank you so much for your class. I just didn't understand why we went back to the original matrix to pick the two vectors for the basis, instead of just using the ones we came up with in row reduction. (1,0,0) and (-3,1,0)
Because row reduction destroys span but preserves LI
Respect to you Sir thanks a lot sir . Love From INDIA
Lol, I had him at TAMU and his video just showed up while looking for linear algebra stuff. Miss you Dr. Peyam!!!
So cooool!!!
Oh!! Thank you so much. Much obliged for your help ❤
Thank you Dr. Peyam, I have a final coming up this Thursday and this video cleared up so much confusion!
sir even teaching at 0.5X speed ..thank you this help alot
thank you sir
just amazing. I understood how to find basis and dimension.
What a fantastic explanation! Really helpful Dr Peyam. Thanks so much.
Thank you for the lesson!
My pleasure!
Quick and good refresher. Thx
For a long time I found row reduction a colossal pain and a waste of time. But now I see that reducing a matrix gives you a GIANT amount of information all at once. So it's very much worth the time investment!
i love this guy's energy
Thank you!! You helped me a lot
Wooow!!! I love it and I will recommend it to my colleagues.
Amazing, short, very useful, full-energy-packed session 👏 👍
Thank you very much for helping me Sir
Thank you, Dr Peyam!
Thank you so much sir 🎉 keep rocking 😊
Thank you so much!
when should we use ref vs rref when finding basis / lin independence / wether it spans or not
R should be roll anna maata kinda padi dorlali😂😂
You are really awesome and a very cool teacher 🙏🏾🙏🏾
so touching for an excellent video
nice explanation sir... very good
The thumbnail quote is wrong, should be "I'm all about that basis"
thank you doctor for this masterpiece I really just wonder what the diff between is make the set in the column and the row space and thank you again for this masterpiece.
Thank you very much for the explanation!!
wow interesting thank you sir can you please do for the complex numbers basis and dimension
Check out matrix of rotation
@@drpeyam thanks alot sir
wait so now, i don't have to go through checking on the linearly independence and the spans? i mean our prof said that we have to check if the matrix is L.I and it spans the V. so should i just skip these two steps and find the basis of column space and that's it? would it be considered correct answer?
+thanks for the video by the way!!
Your lectures are 👍 good
Why I Can't write [1 -3 -4 ] and [0 1 3] as basis of this subspace?
Can you make a video on intersection and union of column spaces ?
I made one on intersection and union of vector spaces
@drpeyam Can you share which video it is ?
I think it’s called union of vector spaces
@@drpeyam Let 𝐴 = [
1 2
1 3
] and 𝐵 = [
1 0
2 1
]. Find a basis for the subspace
𝐶𝑜𝑙(𝐴) ⋂ 𝐶𝑜𝑙(𝐵) and hence determine its dimension.
This is my question. Not sure how to go about it. I know to find the colum space individually for each vector.
This is amazing. Thank you so much!
You‘re actually nuts, how have I not found you earlier
Sir, can you please tell me the answer of the question below:
Let V be the vector space of all {2,4} matrices
i) Determine the dimension of V
ii) Determine the basis of V
Thanks as you answer !
I want to ask Same questions
Wdym by {2,4} matrices?
i wish i could have a professor this sweet
would you please be able to explain to me why it matters if I make a matrix with each vector as a colour vs each vector as a row?
dr, you are cute😭😭
Nice explanation...... Sir🙏🙏🙏
What a W video
Thank you!!!
So is the Rank of matrix and Dimension of matrix same ?
Thanks a lot sir.
very nice explanation
Magnificiant
Sir, what is your secret of happiness?
Math :)
Pelucid. Thank you!
I came here only for you thimble
sir
U r awesome👏
thank u man
Hmmm I saw Gaussian Elimination and Echelon form and Reduced Echelon form but when doing linear systems in matrix form why do we sometime put or not put 0's filling the columns at the last row?
Google REF vs RREF. It's 2 different forms, and RREF is the one with zeroes and has more uses than plain REF.
Hlo sir...🙏iam from india
thank uu:)
Great explanation.Just wanted to know if you are persian?
Yes
y r some comments from a wweek ago lmao. Also do u know jpanese
Hahaha, it’s always been there, I just “officially” released it today! And sadly I don’t, but I know Arigato Gojaimas!
you rock!!
I know im dumb but dont me mad sir, i’m tryiiiingggggggg 😭😭😭
Please sir..give me reply.
eyw
divana
خرب حظي مو فاهم شي ..انا عربي يلا يلا افهم شنو هاية
くさんありますありがとうございます」、