1.2 Vector Spaces - #02 Vector Basis, Span & Linear Independence (Special)

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Vector Basis, Span of a set of vectors & Linear Dependence and Independence of a set of vectors.

King's College London Physics Program
Year 1 Maths Video Lecture

CONTENTS:
- Vector Basis [0:33]
- Span of a set of vectors [04:21]
- Linear dependence and independence in 2D [09:33]
- Linear dependence and independence in 3D [13:24]
- Linear dependence and independence - definition [16:10]
- Summary [23:25]

Francisco (Paco) Rodríguez Fortuño
Senior Lecturer King's College London
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I never saw like this detail explanation of vector space before watching your video. Thank you for your teaching .

thangaraj
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I was finding someone to teach me vector space like this my whole life nd here it is.
The best method of making someone understand the concept of vector space.
Everyone else gose by definition but this is best.

chavdarajdeepsinh
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This is the best description of this topic I have ever encountered. I would like to ask the presenter if he really struggled with the concept while learning it. Those who really struggle and conquer it seem to have the best ability to teach it to others. Thank you for this. Looking fwd to you other videos.

thevegg
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very nice explanation. I searched everywhere in youtube but couldnot understand. Your video saves my life. jajakallah{May God reward you [with] goodness}😌

abdullahatif
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Very illustrative video to understand vector spaces, thank you for making this.

jayarani
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Worth watching it one thing this video guarantee is that you will be left learning the concepts and ideas intuitively and evidently.

vijaysinghchauhan
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Sir you are a miracle. I was crying literally that my present semester is full of these vectors..I was searching almost all videos but I didnt understood anything😭😭😭😭😭😭. And tomorrow is my exam.God gave me this at the right time🥹🙏🙏🙏🙏🙏This video made me understood the nook nad corner of this concepts.. Thanks A lot Sir🙏🙏🙏💓💓💓God Bless❤️🙏

DevaGowree
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Thank you so much for this video. I was struggling to visualize what exactly is happening in my book. Thank you. 😊😊

utkarshanishad
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This is best animation to understand...span perfectly...in.whole YouTube...💜💜💜, thank you sir...🙏🙏

dineshhomedrawing
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I have watched more than 5 videos before this...and I can say "It's the best description of the topic possible".

I have watched this video to understand the concept of "Fourier Transform" in Computer vision course of Udacity.

Thank you so much :)

anirudhjayant
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I like your teaching, It is very clear and visual. Thank you for such good working!

chunlangong
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Wonderfully explained. I hope it clarifies many confusions that arose in many minds. The very basic concepts were something many abstruse texts failed to convey. I give you 100%. Good luck with your wonderful endeavour.

ntchsuw
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Whole heartly man, your video is Wow it was very detailed and helped me understand why I kept getting contradictions when it comes to linear independence. Thank you So very much! And have a magnificent day 😊

Thefighteris
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What an amazing explanation. You are sharp.

jdgw
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thank you so much, i understand the whole concept in a single video

skvsatish
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I was getting confused from few weeks but now everything seeme so easy!!!! Thanks to you man❤️🙌🏾

nvn
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Respected Sir, these videos are truly very helpful for students like us. The way you explain with it's geometric interpretation it helps to understand very soon and easily, with it's significance. Thank you very much Sir, for your kind free service. We hope that every student will get teacher like you if not then at least they will get platform at free of cost to access these videos and to fulfill their dreams of learning with more effectively. Once again thank you Sir.

kaustubhghule
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Thanks sir ! The uphill task is solved as a cup of tea!!🙏🙏🙏

bikidutta
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I can not say thank you enough for this video. Your visualizations made all the concepts I was struggling with finally make sense. Thank You!!!

zoni
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This lecture is outstanding sir this gives me a new perspective on vector space

mathmagic