Comment Below If This Video Helped You Like & Share With Your Classmates - ALL THE BEST Do Visit My Second Channel - https://bit.ly/3rMGcSA This video lecture of Vector Subspace | Basis & Dimension | Examples Of Basis | Linear Algebra | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics: 1. What is Basis and Dimension Of Vector Space ? 2. Definition Of Basis and Dimension Of Vector Space. 3. Examples Based on Basis and Dimension Of Vector Space. 4. Short Trick To Find Basis and Dimension Of Vector Space. 5. This is part Of Linear Algebra #LinearAlgebra #VectorSpace #BasisAndDimension #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. Find Online Solutions Of Vector Subspace | Basis & Dimension | Examples Of Basis | Linear Algebra | Problems & Concepts by GP Sir (Gajendra Purohit)Do Like & Share this Video with your Friends. If you are watching for the first time then Subscribe to our Channel and stay updated for more videos around Mathematics Time Stamp Basis and Dimension- 0:00 | An intro 0:15 | Topic introduction 1:08 | Basis 2:16 | Example 3:49 | Dimension 4:17 | Finite dimensional vector space 4:27 | Infinite dimensional vector space 4:46 | Examples 6:04 | Example 1 (Theorem statement) 8:11 | Example 2 8:59 | Example 3 11:06 | Example 4 13:34 | Example 5 14:24 | Conclusion of video Buy My Book For CSIR NET Mathematics: https://amzn.to/30H9HcD (Best Seller)My Social Media Handles GP Sir Instagram: https://www.instagram.com/dr.gajendrapurohit GP Sir Facebook Page: https://www.facebook.com/drgpsir Join GP Sir Telegram Group:- https://t.me/mathbygpsir Unacademy: https://unacademy.com/@dr-gajendrapurohit Important Course Playlist Link to B.Sc. Maths Playlist: https://bit.ly/3cAg1YI Link to Engineering Maths Playlist: https://bit.ly/3thNYUK Link to IIT-JAM Maths Playlist: https://bit.ly/3tiBpZl Link to GATE (Engg.) Maths Playlist: https://bit.ly/3eEI3VC Link to IAS Optional Maths Playlist: https://bit.ly/3vzHl2a Link To CSIR NET Maths Playlist: https://bit.ly/3rMHe0U Motivational Videos & Tips For Students (Make Student Life Better) - https://bit.ly/3tdAGbM My Equipment & GearMy Phone - https://amzn.to/38CfvsgMy Primary Laptop - https://amzn.to/2PUW2MGMy Secondary Laptop - https://amzn.to/38EHQy0My Primary Camera - https://amzn.to/3eFl9NNMy Secondary Camera - https://amzn.to/3vmBs8hSecondary Mic - https://amzn.to/2PSVffdVlogging Mic - https://amzn.to/38EIz2gTripod - https://amzn.to/3ctwJJnSecondary Screen - https://amzn.to/38FCYZw Following Topics Are Also AvailableLinear Algebra: https://bit.ly/3qMKgB0Abstract Algebra Lectures: https://bit.ly/3rOh0uSReal Analysis: https://bit.ly/3tetewYComplex Analysis: https://bit.ly/3vnBk8DDifferential Equation: https://bit.ly/38FnAMHPartial Differentiation: https://bit.ly/3tkNaOVNumerical Analysis: https://bit.ly/3vrlEkAOperation Research: https://bit.ly/3cvBxOqStatistics & Probability: https://bit.ly/3qMf3hfIntegral Calculus: https://bit.ly/3qIOtFzDifferential Calculus: https://bit.ly/3bM9CKTMultivariable Calculus: https://bit.ly/3qOsEEAVector Calculus: https://bit.ly/2OvpEjv Thanks For Watching My VideoLike, Share & Subscribe Dr.Gajendra Purohit