Vector Subspace | Basis & Dimension | Examples Of Basis | Linear Algebra
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This video lecture of Vector Subspace | Basis & Dimension | Examples Of Basis | Linear Algebra | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is Basis and Dimension Of Vector Space ?
2. Definition Of Basis and Dimension Of Vector Space.
3. Examples Based on Basis and Dimension Of Vector Space.
4. Short Trick To Find Basis and Dimension Of Vector Space.
5. This is part Of Linear Algebra
#LinearAlgebra #VectorSpace #BasisAndDimension #LinearlyIndependent #Linearlydependent #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE and IIT-JAM Aspirants.
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Time Stamp
Basis and Dimension-
0:00 | An intro
0:15 | Topic introduction
1:08 | Basis
2:16 | Example
3:49 | Dimension
4:17 | Finite dimensional vector space
4:27 | Infinite dimensional vector space
4:46 | Examples
6:04 | Example 1 (Theorem statement)
8:11 | Example 2
8:59 | Example 3
11:06 | Example 4
13:34 | Example 5
14:24 | Conclusion of video
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Dr.Gajendra Purohit
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@reeselarry4207
3 жыл бұрын
Pro trick: watch series on InstaFlixxer. Me and my gf have been using it for watching loads of movies these days.
@justiceadriel8585
3 жыл бұрын
@Reese Larry Yup, been using instaflixxer for since december myself =)
@nikolaisawyer2392
3 жыл бұрын
@Reese Larry Yea, been using instaflixxer for since november myself :)
@sanjayguptamathematics431
2 жыл бұрын
Sir plz give your contact number
@ubaidrajput3703
5 ай бұрын
Ap smjha rhe ho, ya sirf English prh rhe ho,,, English prhna to hame v ata hai
Sir your teaching speed is so fast so it is difficult for new student to understand
@shamswazir7509
Жыл бұрын
You can slow speed in settings. Just click on setting icon and go to play back speed and where you set speed by your choice
@VivekSingh-pl4kz
Жыл бұрын
Sahi hai
@shashinilaratna2922
Жыл бұрын
@@shamswazir7509fast in terms of syllabus
@jishantamboli9844
Жыл бұрын
You are right teaching speed is too fast
@payalswaroop2004
10 ай бұрын
Voice ki baat nahi hai jaldi jaldi bolte hain. Usnki kisi bhi topic ko padhane ki speed fast hai
It was the best time when sir used to teach on the green board. Now everything is in fast forward motion and some of the things just blow up your mind
@The_RandomGuy
5 ай бұрын
these chapters requires such treatment
@pmfacts9354
5 ай бұрын
I think these chapter is conceptual so it will take time
Hi Sir. I have understood these topics from your video really well. But you haven't covered examples to find basis of a vector space. Please add that also.
@Wolverine_261
Жыл бұрын
Haa missing hai
Sir please give us a video about linear span and deletion theorem....and their examples
Sir I can see mark difference in your style of teaching. When you started youtube channel with chalk and board in a classroom, that was amazing. Chalk and duster can never loose charm and these presentation can never match classroom boards. Sir can we go back to board where you solve problems with your own hand not show us these presentation.
@pranavshivhare
Жыл бұрын
+1
@belcofalcon4279
Жыл бұрын
+1
@umaidmanzoor5659
Жыл бұрын
+1
@adarshraj_7903
Жыл бұрын
+1
@Someone_1758
8 ай бұрын
+1
❤️❤️❤️❤️thank you very much sir ... Wonderful explanation
I'm really thankful for you sir ❤️❤️
Thank you so much Sir I have completed vector space topic completely Love and respect from 🇵🇰
@usama2073
2 жыл бұрын
Hey can u help me in linear algebra problems?
he is like giving presentation in first semester.
Your video just amazing sir 👌It a very helpful sir thankuu so much🙏
You are great and osm u teach every topic very smoothly and verry esey way I verry like ur classes
Thank you sir. Very Good Explanation.🙂
gained a new subscribed! thank you for saving my time!
Thank u Sir.. God bless u
Thank you so much sir your videos are very helpful. Please make a video on span also.
Love u sir...always..❣❣❤❤
Excellent sir. Ur teaching is awesome..... I can understand ur teaching.... It is very useful for every student..... Thanks A lot sir
I m always waiting for ur videos
Mind blowing sir aapse pdhkr Humko bhot achha laga
Sir you teach very well..❣️....you know how to explain the concept❣️ but please don't try to complete the video in one shot as you began to stammer after being exhaust!
You are the magician of mathematics sir
Sir aap k video se bahut jda help hoti hai . great sir
A lot of thanks for upload a video
Thank you Sir , for the great videos. I have one request sir , if you can tell which book you have used foe this particular video. The reason for the same is I m doing MA Maths from LPU and the textbook have same numericals . So is there any particular author's book that you would advise for Linear Algebra
Thanks sir for this video ❤
Useful video ❤️
It's very useful video lecture
Thank you so much sir 🙏. 🙏
Thank you sir❤️
Sir explained 🙏 So that S={ (1,2,4), ( 1,0,0), (0,1,0), (0,0,1) } is a linearly dependent subset of the vector space V3 (R) Where R is the field of real numbers.
@MathematicswithRohit
2 ай бұрын
Hello Students you can watch my Linear Algebra Playlist if you are not able to understand here. Please visit once and see and subscribe if you like the videos 😊
Thank you so much sit
Well explained 👍
Very helpful video sir
Thanks you so much sir 😊 🙏
Really sir you are great
Thank you Sir!
Thank you sir
Thank you sir for the video. Sir, please make a video on span. Please sir🙏🙏
Thank you so much sir
Tnx sir ,you are great
Well explained sir ❤❤
Thank you sir from mauritius.
Guru Purnima ki bahut bahut subhhkamnae Guru g............ Aapne hme free of cost CSIR net ka gift diya........................ Thanks so much 😍
Very helpful
Sir apne hmara jeevan sudhaar diya 1st yr than 2nd thanku sir
This video helped me in my viva
those who where confused at 12:05 . a1ba is cut from both side . a2da is correct no need to cross it. taking a2da on l.H.S then only you will get ad-bc not equal to zero. Thankyou . Love from Nepal
Very good presentation sir. Actually I am a teacher, I want to know which platform are you using for this presentations. It is really great for understanding..
@amitoshkumar3276
2 жыл бұрын
Unacademy he is using
Sir ur are great
Bsc compete.... All semester with GP sir... Thanks a lot sir❤❤❤🥰
Thank you 😊❤️💖😍
Thanku sooo muchh sir
Nice class sir 🙏🙏🙏
Happy teacher's day Sir
@LRGClasses
3 жыл бұрын
Love you Sir
@luckyRchouhan5
3 жыл бұрын
@@LRGClasses okk
Thank you so much sir🙏🙏🙏🤗 aapki video bhut hi jada helpful hoti hai... Aapka pdhne ka tarika bhut hi acha hota sab kuch bhut ache se clear hota hai😇🙏🙏
Sir how to chose the dimensions please explain and give some questions related to that video sir and thank you sir....... This is very helpful.......
@shashidharrenumala7499
3 жыл бұрын
Yes himangini
Sir plz tell me the result, why dimension of C(Q), R(Q) is infinite?
@risckstar9366
2 жыл бұрын
Yes I don't ever know 😢😢
@risckstar9366
2 жыл бұрын
I have many questions
@davidgamerz2116
Жыл бұрын
Cause it's basis are infinite
thank you sir❤❤
Sir please give more explanation so that i can understand easily
Thank you ❤️❤️☺️❤️☺️ Sir
Love you sir 💓💓💗💕
Nice explain sir
I am watching this video playing 2X speed....And understand.... Thanks 🙏🙏🙏 sir
Thank you so so much sir for ur fantastic teaching process,I'm very grateful to you Sir🙏....but I need more class of linear algebra...
Thanks sir very nice sir
Very nice sir
Mera to correspondence course sir k lecture ki wajah se chal rha h aur exam bhi achhe marks se clear ho rhe h.Thanks to you sir. But the clarity which i got in PI & CI is not coming here.
thanks sir
Sir your teaching is well and good and one more request pls little bit english tell me
Tomorrow is my maths exam I want dimensions theorems videos please
Really useful for bcom students too. Great video
best explanation sir...thanks a lot🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
Thank u sir
Nice sir 🙏 🙏 🙏
sir please solve more examples because exams mei itna easy sawaal nhi aata and we don't know how to proceed with tough questions
Lv uuu sir ur teaching skill is fine. I understand every topic
Hydrodynamic and classical mechanics nd basic topology ke topics par video bnaeye please sir
Sir very good 😊😊😊👍👍👍
Thanks sir g love from Pakistan
Thanx sir jii
This video helped me in my assignments 😃
@usama2073
2 жыл бұрын
Hii
@MohammadMunaam
2 жыл бұрын
@@usama2073 hello
@MohammadMunaam
2 жыл бұрын
@@usama2073 nahi Bhaijaan main CS se btech kar raha hu 😅
@usama2073
2 жыл бұрын
@@MohammadMunaam kaun sa semester chal raha?.. Aur aap kahan se ho?
@MohammadMunaam
2 жыл бұрын
@@usama2073 apko kya karna janke vese 😅
Please sir provide us complete course in linear algebra
Sir pls upload video on linear span🙏🏻🙏🏻
Nice
Sir isse related questions ki video B upload kro.... Plz
Sir plz upload a video on linear span
Sir there is no where mention that suppose vector (1,0,0), (0,1,0), (1,1,1) should span R3 in order to be Basis. Is that not required in college level?
Sir, aapne essa phale video m bataya tha..linear combination m likhne k liya relation hona chyiya ..aur relation toh linear depend m hota hai toh LI ko Linear combination m ku likh rah hai aap?
@Rakshit_Jain
2 жыл бұрын
Li ko bhi linear combination m likh skte h But wha par sirf ek solution hoga. Scalars=0
Sir G please make a video on "change of bases" in linear algebra
sir please start the Topology lecture
Aslamolikum sír request to discuss the Galvois theory kindly
Dear sir please provide link for linear transformation
Shehzaday Sir....... Love from pakistan...
Sir In example 3 , c=1/6 is wrong actually its c= 1/9. Just for correction sir .... Your vedios are very helpful for us sir . Thank you sir
@adksongs1524
Жыл бұрын
Bro how did u get that also , I don't know why I didn't get any of these values
@sonit9707
Жыл бұрын
It can only mean one thing.
@ashishbisht6841
Жыл бұрын
What sonit?
@vaishnavisingh6595
Жыл бұрын
@@adksongs1524 yes even I didn't get it
sir lease make video on dual sace also and invertiblity of linear transform
Sir aap abstract algebra msc ke sabhi topic par video bnaeye please sir I request you please sir
sir aapne upload kiya kya dimension wale mcqs
bahot mast kam karte ho aap.
@usama2073
2 жыл бұрын
Hii
iske uper based mcqs short tricks wale video banao sir plxzzz