Vector Subspace | Linearly Independent | Linearly Dependents Vectors | Linear Algebra

[@gajendrapurohit]

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]

Sir please thoda slow padhya karo , it would be suitable for all students........

[@syedakisa4949]

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

[@Iitian_satyendra]

Thanku sir for this session 🙏

[@Dr.Haleem08]

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_]

5R3+2R2 operation hoga 7:03 pe check kare aapne minus kiya hai

[@apugoswami140]

This Man helps us more than teachers of our institutions. Thanks A Lot Sir.

[@ManishSharma-oe9in]

ipu se ho kya?

[@harmangoria7915]

Sahi bilkul👍👍🤓

[@Future118]

Yes you are right

[@gaitondebhau3378]

Amazing hai gajendra purohit sir

[@Amy-be6xp]

So true

[@bytesfashion]

Seeing your lecture day before my mid sem. You lectures are boon to the students.

[@nihalsahay5429]

Because of your guidance we are passing our semester exams
Thanks a lot.

[@AnkurKumar-cv9tp]

Sir aap ko duniya ki sari khusi mile aur aap ki wajah se hi math ki Meri topic cover ho rahi

[@deepakyadav-nl6yy]

Thank Q Sir....U r extremely valuable to entire student fraternity

[@theinfinity3954]

Mera math itna easy lagti hain।jabse aapko follow kiya tab se sir।

[@vasusharma4327]

HOW CAN SOMEBODY BE SO GOOD AT SOMETHIN'
hats off to u sir ..... really helpful that was ....! thanks a lot

[@sachinyadav4439]

Who is here just 1 day before exam 😅😂

[@heembhavsar8622]

Tum pass hua? 😁

[@Studygear.09]

I am on the date of exam

[@WonderQuestforKids]

Me 3 days before

[@rajesh_aditya]

Me 6 months , before☠️

[@nishthasinghsingh3304]

​@@Studygear.09😂😂😂

[@arsalanamin5206]

@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]

yes i had the same doubt. thanks for pointing it out

[@irreplaceabletika28]

Thank you from nepal💕❣

[@shobhnakumari2136]

Thank you sir for all the hardwork you do for us.

[@rujin_1762]

thanks my guru, love from nepal♥♥

[@bindusharma7714]

Sir online me to kush bi smj ni ata hai but jbb se app ki class me pd rha hu but ache se smj ata hai sir you are too good thank you so mush 🙏

[@codingismylife8959]

You are really good than all teachers thank you so much sir

[@sahilrazakhan8312]

Thanku so much sir .......there is no one who had cover this much of topics 💓....more power to you sir 💓

[@deekshadhiman150]

amazing content with crystal clarity .. thank you so much Sir..!

[@jaymekaundun7665]

The dependency analogy at last is godly.

[@jenaamarnath]

End me sir ne bahut badiya example diya independent and dependent ka.

[@sonikayadav5888]

Really helpful sir

[@thebrokeartist1272]

Thank you very much sir 😊😊😊😊😊😊😊😊😊💖💖💖💖💖💓💓💓💓💓💓

[@shahzeelshabbir9688]

Good work Sir.. Love from PAKISTAN

[@indianforces7052]

Thank u very helpful 👍

[@Animated_Stories111]

Thank you very muchh sir🙏❤️it helps a lot .......

[@huzaifaarshad5074]

This video is superb very well explained sir watching from Lahore Pakistan

[@amessit10]

just wow...fab explanation

[@jannatferdos2515]

this teacher help us more tham my institutions..thanks sir

[@Terikehkelungaa-uj2yq]

Sir aapke apke videos me bakwas nhi hota to dekhna faltu nhii lagta h🙏

[@mitalgohil3022]

World best sir for mathematics

[@sallardepar1349]

❤God bless you sir❤ from Pakistan

[@AjaySingh-ng4is]

Nicely explained the concept, very much useful.

[@manojkumardandapat2244]

Really Sir all the videos of u r very very useful us....U r such an excellent teacher .......Your all video ko dekhne se pehle like chaihai

[@creatingmathematicians1004]

Your video is very helpful in my GIC and PGT maths exam. Thankyuu

[@shrejalgupta9520]

thankyou so much sir🤗🤗

[@Code_Catalysts]

Shukria sir
Lots of love from 🇵🇰 ❤️

[@Dipak_22]

Happy Mathematics day sir I am join now today and today is international day 🤗so great day sir ❤️

[@anurashkaushik884]

Thanks you for making such videos to solve our problems in maths

[@prasannabatchu3152]

Sir please take a video about linear combination and linear span

[@CKS1432]

Sir kindly post English secession

[@saliqueahmad4277]

Watching this video just before the exam...got some confidence. Thank you Sir.

[@deeplaxmisingh1242]

Very helpful to clear the concept thank you so much Sir

[@mazharabbas7185]

Excellent explanation sir👌👌👌

[@riyarajaura6105]

Sir aap bahut achha padhate h thanks 😊😊😊😊

[@abhinandanjain2399]

Thank you so much Gajendra sir.

[@aneeshmamidi5614]

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]

same question !!!

[@gangadharmaurya3089]

Fan ho gaya sir ji aap ka

[@missmeenu4233]

Nice video sir...... Thank you sir!

[@BasantVerma87576]

Very Nice Sir

[@AngelChahal-of6xp]

Nice one video sir, concepts are fully cleared ❤❤ thanks for these types of videos sir ❤❤❤

[@ashwindeepsingh44]

Thanx For This topic... ☺️☺️

[@MathsMentorVishal]

Subscribe for group theory

[@riturathi6956]

Thanku so much sir Ji 👍🌹👍👍

[@krishanveerthakur1466]

Aap bht accha pdate ho sir

[@zeeshanshaquib8289]

Apka tarika gajab h

[@kuchbhii_07]

❤Sir i like your teaching method.

[@Himanshu-g8j]

sir your teaching method is too much fantastic

[@kshamashreekodandoor1711]

Thank you so much sir😭 you saved mee🙏 i owe you

[@SHIVAM-dv5qd]

Excellent sir ji ❤❤❤❤❤❤❤❤👍👍✨👏🙏

[@believeinyourself1165]

Thank you sir ...you are so good in everything

[@shivamanhar]

Thank you sir. When i read the book related to this topic then I have not understand any more. and I request to you sir please explain Norms.

[@amanrajoria8071]

sir you were much better when you taught on board , i saw your old videos!
bring back old gajendra sir!!!!!1

[@mohdazahruddeen6398]

Sir your trick is unique

[@nationalsteeltubes4476]

U r explanation r very well sir 👌👌

[@Unknownkpopstaner22]

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]

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.

[@ayushburathoki6692]

THANKYOU HELPED A LOT

[@nfakstatus932]

sir u r legend . LOVE from PAKISTAN

[@SHRINIKETH-xd4nn]

Thankyou sir 🙏 🙏🙏🙏with utmost sincere obeisance.

[@sudhanshusonare9936]

Thank You so much sir 🙏🏻🙏🏻😊

[@makematheasy5679]

Your all vedios are so helpfull especially when you teach on this board. Kindly always use this board in your lectures...

[@theprophetspath9929]

Just one day before exam😀

[@sanadclasses6156]

Thanks for sending this topic Victor

[@shivamathsmagma4005]

Your video is very useful for my university exam. thank you very much guru ji.

[@AbdulWahab-ri7cd]

Thank you so much 🥺🥺

[@vibe-fc3cg]

Coaching wale sir se achha samajh to yha aata hai

[@createownway.4238]

Tq soo much sir this vdo was useful to me.
🙏.

[@SadiaSadiaGull-o4w]

Thank you Respected sir

[@amban2709]

थैंक यू सो मच फ़ॉर डिस सर ग्रेट वर्क

[@triteshkumar6918]

Thanku sir u are inspiration for me

[@electrocode4095]

thank you sir you save my 2 hours

[@VilenJiGaming]

Very Ise Full Tricks Sir ❤

[@MathematicswithRohit]

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 😊

[@ektarfagaming6411]

Sir H K Pathak ka example linearly independence ka example no 1 samajh nahi aa raha hai

[@Dr.Haleem08]

A set of n vectors 𝑣1,𝑣2,𝑣3,...,𝑣𝑛
v1,v2,v3.....vn
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.

[@Dr.Haleem08]

Plz sir answer this question

[@sakshu6549]

Thank you for your this video 🤗

[@sd12217]

What does (a,b,c,d) represent as it is not a coordinate ??

[@amaryadav6531]

thank you❤ sir

[@_anuj_gupta]

Excellent examples and their explanations
Amazing sir

[@saumitragautam8333]

Thank you.

[@murshid37]

Bundle of thanks❤❤ ❤ ❤

[@Rakeshkumar-jf4ty]

Super sir 🙏 🙏 🙏

[@sahilbeniwal6421]

Sir you are genius

[@KumarBikashThoughts]

Thank you very much sir
Your videos are most valuable sir

[@kulsumbanoo3595]

Thank you sir your teaching very well

[@939onlystudy]

Sir kindly solve below question with rank method
Show that the vectors (1,2,3), (3,-2,1), (1,-6,-5) are linearly independent

[@aryanjod_yt3431]

Linearly dependent

[@939onlystudy]

@@aryanjod_yt3431 thx sir

[@komalsaini017]

Thank yu so much sir....

[@gamechanger-xw9ec]

Itni trick kram diye jaldi jaldi ki pta hi ni chla kya ke rahe he.

[@studylover6201]

Thanku sir .......🙏🙏

[@deveshsahu619]

7:31 the sign blw r3-r2 is wrong it will be +

[@zubaerahmed8222]

Thank you, sir.From Bangladesh

[@parvejalam9850]

Very nice 👍👍👍👍 sir

[@stayupdate_]

5R3+2R2 operation hoga 7:03 pe check kare aapne minus kiya hai

[@Physicsguide_Surajsir]

गुरु पूर्णिमा पर्व की हार्दिक शुभकामनाये sir