Vector Subspace | Linearly Independent | Linearly Dependents Vectors | Linear Algebra
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This video lecture of Vector Subspace | Linearly Independent | Linearly Independent and Dependents Vectors | Linear Algebra | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What are Linearly Independent and Linearly Dependent Vectors ?
2. Definition Of Linearly Independent and Linearly Dependent Vectors.
3. Examples Based on Independent and Linearly Dependent Vectors.
4. Short Trick To Find Linearly Independent and Linearly Dependent Vectors.
5. This is part Of Linear Algebra #LinearAlgebra #VectorSpace #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
Linearly independent and dependent vector-
0:00 | An intro
0:13 | Topic introduction
1:15 | Linearly dependent
2:09 | Linearly independent
3:25 | Problem 1
7:41 | Problem 2
9:18 | Problem 3
11:06 | Problem 4
12:11 | Relation between linearly dependent vectors
16:37 | 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
@bhumikasharma2248
3 жыл бұрын
Sir please thoda slow padhya karo , it would be suitable for all students........
@syedakisa4949
3 жыл бұрын
Sir kindly exponential function ka b bata dain agr koi vector ki value exponential function ma a rahe ho to uss ko kaisy check krain gy linearly independent hy ya dependent
@satyendra3d
3 жыл бұрын
Thanku sir for this session 🙏
@Dr.Haleem08
3 жыл бұрын
A set of n vectors 𝑣1,𝑣2,𝑣3,...,𝑣𝑛 v 1 , v 2 , v 3 , . . . , v n is linearly independent, if no vector in the set can be expressed as a linear combination of the remaining n+1 vectors. State whether the above statement is true or false.
@stayupdate_
3 жыл бұрын
5R3+2R2 operation hoga 7:03 pe check kare aapne minus kiya hai
Who is here just 1 day before exam 😅😂
@heembhavsar8622
4 ай бұрын
Tum pass hua? 😁
@Studygear.09
4 ай бұрын
I am on the date of exam
@user-nn8ft1ge8q
4 ай бұрын
I also😂😂❤❤
@WonderQuestforKids
4 ай бұрын
Me 3 days before
@rajesh_aditya
4 ай бұрын
Me 6 months , before☠️
This Man helps us more than teachers of our institutions. Thanks A Lot Sir.
@ManishSharma-oe9in
3 жыл бұрын
ipu se ho kya?
@harmangoria7915
2 жыл бұрын
Sahi bilkul👍👍🤓
@Future118
2 жыл бұрын
Yes you are right
@gaitondebhau3378
2 жыл бұрын
Amazing hai gajendra purohit sir
@Amy-be6xp
2 жыл бұрын
So true
Seeing your lecture day before my mid sem. You lectures are boon to the students.
@Dr.Gajendra Purohit, I really appreciate your videos, as they are very awesome & helpful in true learning of the concepts. Below mentioned is a mistake in this video, for your reference. 1) At 6:50, the new equation will be (R3' = 5R3 + 2R2) and not (R3' = 5R3 - 2R2) as you mentioned, because there already exists, negative signs with the enteries of R2 Regards.
@janjyotiojah2421
8 ай бұрын
yes i had the same doubt. thanks for pointing it out
Because of your guidance we are passing our semester exams Thanks a lot.
Thank Q Sir....U r extremely valuable to entire student fraternity
Sir aap ko duniya ki sari khusi mile aur aap ki wajah se hi math ki Meri topic cover ho rahi
HOW CAN SOMEBODY BE SO GOOD AT SOMETHIN' hats off to u sir ..... really helpful that was ....! thanks a lot
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Watching this video just before the exam...got some confidence. Thank you Sir.
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End me sir ne bahut badiya example diya independent and dependent ka.
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Thank u very helpful 👍
Nice video sir...... Thank you sir!
at timing 7.40, you said the vectors are linearly dependent as the rank is lesser than no.of equations but after solving the matrix, the values of the scalar are all equal to 0, then isn't that linearly independent?
@vaibhavmore37
Жыл бұрын
same question !!!
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What does (a,b,c,d) represent as it is not a coordinate ??
Thank you sir.
Thanks a lot sir🙏
Hi sir i have a question. What exactly is a relation between unique solution and linear independence? If the matrix has a unique or one solution is it compulsory for all the vectors to be linearly independent?
@aniketmehtaiitmandi6278
2 жыл бұрын
so to be more precise we are talking about homogeneous system of linear equations and in that case if det(A)=/=0 implies unique trivial solution which in turn implies Ai's(scalars) = 0 which implies linear independence of vectors of vector space So here homogeneous system is the key.
Thank you so much 🥺🥺
Excellent
थैंक यू सो मच फ़ॉर डिस सर ग्रेट वर्क
Thanku sir .......🙏🙏
Thank u so much sirji
very helpful video