Basis | Dimension | Generating Vector | Extension theorem | Replacement Theorem | Vector Space

🔴 Basic Electrical Engineering: https://tendingtoinfinityacademy.com/all-courses/explore/2 🔴 Engineering Chemistry 1: https://tendingtoinfinityacademy.com/all-courses/explore/3 🔴 Engineering Physics 1: https://tendingtoinfinityacademy.com/all-courses/explore/1 🔴 1st Year Combo (with Physics): https://tendingtoinfinityacademy.com/all-courses/exploreBundle/8 🔴 1st Year Combo (with Chemistry): https://tendingtoinfinityacademy.com/all-courses/exploreBundle/7 🔥 For all other subjects Website link: https://tendingtoinfinityacademy.com/all-courses 😍 Follow our Instagram page: https://www.instagram.com/tending_to_infinity?utm_source=qr&igsh=MzNlNGNkZWQ4Mg== 📚 Telegram Channel link: https://t.me/tendingtoinfinityofficial 🎉 WhatsApp Channel link: https://whatsapp.com/channel/0029VaMmgFj0QeadjHdbjt05 This video lecture of Basis & Dimension will help Engineering and Basic Science students to understand following topic of Mathematics: 1. What is Generating Vectors or Spanning vectors 2. Examples of Generating Vectors or Spanning vectors. 3. What is Basis of a Vector Space. 4. Examples of basis. 5. What is Dimension of a vector space. 6. What is Basis of a Subspace. 7. How to check a set is a Basis of a Vector Space. 8. How to find basis of a subspace. 9. What is extension theorem 10. What is replacement theorem 11. How to solve questions using Extension and Replacement Theorem 11. Solve Previous Year Questions Timestamps: 0:00 - Introduction (Recap) 1:35 - Definition of Generating Vectors 2:35 - Understanding Generating Set 15:55 - Definition of Basis 16:16 - Examples of Basis 21:21 - Dimension 23:10 - Q.1. 2020 Question 24:19 - Q.2. Verify the set is basis or not? 27:50 - Q.3. 2018 Question (Checking Basis) 33:03 - Q.4. 2019 Question (Basis of a subspace) 47:28 - Extension & Replacement Theorem 50:22 - Q.5. 2018 Question (Using Extension theorem) 56:24 - Using Replacement Theorem #basis #spanning #agenerating_vectors #dimension #extension_theorem #replacement_theorem #matrix #linearalgebra #engineeringmathematics #makaut #bscmaths #BSM101 #BSM102 #matrix #organiser #organiser_solution #makautsemester #makaut_organiser_solution #definition #definition_of_vector_space Link of Playlist of Matrix & Vector Space (Linear Algebra): https://www.youtube.com/playlist?list=PLn3Wz38keZOfWTVbhrSQ3foR2MMkonU1d Link of Playlist of Calculus (Integration): https://www.youtube.com/playlist?list=PLn3Wz38keZOe7iYj0o7lBV-tWvjsDriOz Link of Playlist of Calculus (differentiation): https://www.youtube.com/playlist?list=PLn3Wz38keZOcDeAjovwN5IhnNwBM9Ne Link of Mathematics IA (BSM101) : https://www.youtube.com/playlist?list=PLn3Wz38keZOdNAJWL4WC9iYW5gnzfY3ey 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. Thanks For Watching My Video Like, Share & Subscribe Query Solved : engineering mathematics,makaut,mathematics,makaut 2nd sem math suggestions,makaut 1st year math suggestions,mathematics 1,mathematics mcq for makaut,engineering mathematics for gate,mathematics 1 rgpv,gate mathematics,aku mathematics 1 ques paper,discrete mathematics,engineering mathematics 1,engineering mathematics 3,engineering mathematics - i,aku patna b.tech mathematics 1 solve paper,engineering mathematics 1st semester,engineering,engineering mathematics 1 in telugu,how to pass engineering mathematics 1,engineering mathematics 1 syllabus rgpv,engineering mathematics 1 syllabus jntuh,differential calculus engineering mathematics 1,engnnering mathematics 1 syllabus rgpv,makaut syllabus ee,makaut syllabus cse,makaut syllabus ece,makaut syllabus 2019,makaut syllabus 2020,makaut syllabus 2021,makaut syllabus 2022,makaut syllabus 2023,makaut syllabus 2024,makaut syllabus 2017,makaut syllabus 2018,makaut cse syllabus 2018,makaut syllabus mechanical,1st year syllabus for makaut,cse syllabus,r19 syllabus,makaut civil engineering syllabus 2018,r19 syllabus jntuk,makaut mechanical engineering syllabus 2018,btech first year syllabus,wbut syllabus,cse syllabus in engineering,syllabus,aktu syllabus,b tech syllabus,syllabus of srm