Vector Subspace | Subspace Theorems & Examples | Linear Algebra
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This video lecture of Vector Subspace | Subspace Theorems & Examples | Linear Algebra | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is vector Subspace ?
2. Definition Of Vector Space Subspace
3. Proof Of Necessary and Sufficient Condition For Subspace.
4. Proof Of various Theorems and Examples Of Vector Subspace
5. This is part Of Linear Algebra
#LinearAlgebra #VectorSpace #Subspace #Theorems
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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 NET, GATE and IIT-JAM Aspirants.
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Time Stamp
Vector subspace -
0:00 | An intro
0:17 | Topic introduction
1:22 | Vector subspaces
2:37 | Theorem 1
8:34 | Theorem 2
13:01 | Problem 1
15:28 | Problem 2
17:33 | Problem 3
20:09 | Conclusion of video
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Dr.Gajendra Purohit
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Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit
@haseebyaseen1401
3 жыл бұрын
@Emiliano Alex is it paid?
@MathwithSahill
2 жыл бұрын
Sir please send the PDF of the book
Sir I tell you one thing, the way of your teaching is excellent and another one thing is that sir you tech on blackboard or greenboard by writing that way is very effective. Again thank you very much Sir 👍🥳🥰
Thank you so much sir for starting vector space. Sir meine vector space other channel pe bhi padha h but jis easy method se aap padhate ho or koi nhi padhata
Thankyou sir.... vector subspace samajne m badi dikkat hui but apki video ne bahut help kari... Thanks a lot sir.
Bahut bahut sukriya sir....🙏
Thanks Sir, Your Video help me to do well in my academics
Very helpfull video thank u sir🙏
Thanku so much sir. Aapka pdaya hua bhut jaldi smaj me aa jata h again thanks a lot sir.
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@MathswithKM
4 жыл бұрын
Visit my channel for ring theory videos.
Thank you so much sirr 🙏🙏🙏
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Thanks sir grt effort
Thank you guru, ji
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Sir I am studying BSC Maths in the UK and I love your videos so much! They’re so helpful Thank you
@aadityakumar903
Жыл бұрын
Uk..? Uttrakhand..!??
@satyamjha4758
Жыл бұрын
United Kingdom Britain😅
@DELTA_official
Жыл бұрын
@@aadityakumar903 ise type ky question exam my bi atty hai 🤣
@mahendrajas540
6 ай бұрын
Bcs from England 😮😮😮😮
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Thanks for more videos upload
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@ManlyMadhu123
Жыл бұрын
then tyr to don't imagine
@priyanshubehera8085
Жыл бұрын
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@AnimewithPraveen
6 ай бұрын
😂😂😂😂😂
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@biswajitbarik1077
4 жыл бұрын
Aapne sahi kaha Monica ji...maine jindagi mein eisa teacher kabhi Nahin dekha... subject chahe jitna v kathin kyun na ho jab gajendra sir padhate hein na yaar sab kuch samajh mein aa jata hai... hat's up sir...
@garrysingh385
4 жыл бұрын
Sir g tusi differential equation me btaya tha ordinary point me bare me . sir g ordinary poins infinite ho sekde ne according to that
THANKS 🙏🏽SIR
बहुत-बहुत शुक्रिया
sir in second problem how do you now it's a inear equation and actually it's a 2nd order equation not a 2nd degree equation
Sir, in 5:23 we already have W is closed under vector addition and scalar multiplication. Then why do we need to prove them again by taking alpha=beta = 1 for W is closed under addition and beta=0 for W is closed under scalar multiplication ?
Sir inner product space chapter 10th by jeevan sans publications upload kr do please request 4th section pura ho jaye ga
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@himanshukhandelwal1982
3 жыл бұрын
Live Classes ,PYQs and also other teachers are on unacademy Plus
@AkankshaSunaar-ro1zd
Жыл бұрын
Achcha to pdhaaa rhe
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Nice
thanks
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@sreenjaysen927
4 жыл бұрын
For linear algebra you should watch Dr. Strang's videos in MIT Opencourseware. Stop watching this crap.
sir aap college nahi jaane wale bando ke liye ek angel hai or meri dua hai aap hamesha healthy rahe. :)
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Define vector space and subspaces mai ek video banaye please
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Guys like the video.sir g bahut hard work kr re han
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@mathematicsworld97
4 жыл бұрын
@@urdeep01 I know it's a property of logarithmic function but I had a question in paper to find the solution of this equation .
@mathematicsworld97
4 жыл бұрын
@@urdeep01 thanks
Ideals wala topic pura nahi hai sir ring theory ka...please vo pura krwaeee please sir
Hlo sir aap pahale khud se likhte the to achhe se samajh aata tha ab aap pahale se hi likhe ho aur bata rhe ho to utna nhi samajh aa rha
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Namste guru ji
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@ambikapatil6699
3 жыл бұрын
Sir upsc mathematics ko bhi a videos dekh sakthe na sir
Best teacher for engineering or competitive mathematics
Sir ye videos upsc k liye sufficient h
Di you know about exademy yiutibe cahnnel
Sir! please can you give us an example as assignment, which is not a subspace of a vector space.
Sir please thoda slow padhaya kariye but you are best teach.
Okay... Is this BSc 6th Sem subject?
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Sir pdf mil sakta ha ap k notes ka?
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Sir please B. Sc 2yer mechanics ka video
I need a solution for : V=R^3. Show W = {(x,y,z) : 2x+y+2z=0} is subspace of V.
@akashsinghyadav1236
3 жыл бұрын
It's a similar kind of problem , see if it helps Example 1: 𝑊={(𝑥,𝑦,𝑧):3𝑥−2𝑦+𝑧=0, 𝑥,𝑦,𝑧∈ℝ} is a subspace of ℝ^3. Let 𝛼=(𝑥_1,𝑦_1,𝑧_1 ) and 𝛽=(𝑥_2,𝑦_2,𝑧_2 ) be any two vectors in 𝑊 and 𝑐 be any scalar in ℝ. Then, 𝑐𝛼+𝛽=(𝑐𝑥_1+𝑥_2,𝑐𝑦_1+𝑦_2,𝑐𝑧_1+𝑧_2) and 3(𝑐𝑥_1+𝑥_2 )−2(𝑐𝑦_1+𝑦_2 )+𝑐𝑧_1+𝑧_2=𝑐(3𝑥_1−2𝑦_1+𝑧_1 )+3𝑥_2−2𝑦_2+𝑧_2=0. Therefore, 𝑐𝛼+𝛽∈𝑊 and 𝑊 is a subspace of ℝ^3.
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Pura vector space kab tab cover hoga
I am from IIT Bomabay CSE ,your videos are very helpfull
@tusharkukreja671
Жыл бұрын
Hi I am from IIT Bidholi, Uttarakhand
@Siuuu18vk
6 ай бұрын
Hi I am from IIT Dholakpur
Sir please suggest me one book that is helpful for more question for IIT jam paper after solving this book look like comfortable in jam paper question
Radhey Radhey sir
Tension lene ki jrurat nhi hai ☺️☺️☺️
Sir I am from Pakistan Allah bless you
Sir kon See book sey parhathy hay