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

[gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work.
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Dr.Gajendra Purohit

[apugoswami]

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

[bytesfashion]

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

[deepakyadav-nlyy]

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

[nihalsahay]

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

[arsalanamin]

@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.

[AnkurKumar-cvtp]

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

[vasusharma]

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

[theinfinity]

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

[sahilrazakhan]

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

[abdullahimranafridi]

I didn't understand a word you said sir. You were so much fast. Sir plz explain through writing on a board with marker and also u committed a mistake in problem 1 in row 3 column 3, it was zero it was 20 after we subtract 2R2 from R3. No disrespect and still lots of love for making the foundation and giving us the idea.

[shobhnakumari]

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

[aneeshmamidi]

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?

[Terikehkelungaa-ujyq]

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

[bindusharma]

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 🙏

[codingismylife]

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

[deekshadhiman]

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

[jaymekaundun]

The dependency analogy at last is godly.

[jenaamarnath]

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

[Unknownkpopstaner]

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?