Lecture 21: Introduction to Vector Space | Group & Field Defined in Hindi | Linear Algebra

Описание: 👋 Hello Learners! Welcome back to Fractal Frontier Maths. 🎓

Today we are starting a very important new topic in Mathematics: Linear Algebra. Before understanding Vector Space, it is crucial to understand the algebraic structures that form its base. In this lecture, I have explained the fundamental definitions of Group, Field, and Vector Space using Hindi explanations and visual aids.

We will cover:
✅ Concept of Binary Operations (Internal & External Composition).
✅ Definition of a Group and Abelian Group.
✅ Definition of a Field (kshetra).
✅ Formal Definition of Vector Space (Sadish Samashti).
✅ The 10 Axioms required to form a Vector Space.

This video is designed for B.Sc. / Undergraduate Mathematics Students and those studying Linear Algebra.

In the previous lecture, we wrapped up our discussion on Matrices by covering "Eigen Values, Eigen Vectors, and the Cayley Hamilton Theorem." We learned how to find characteristic equations and verify the theorem. Watch here:    • Lecture 19: Concept of Eigen Values and Ei...  

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