Скачать или смотреть Affine Transformation - Definition and Example | Introduction to Algebraic Geometry 6 | Neo Learning

Free Lecture Notes, download Here:
https://drive.google.com/file/d/10vrh...

Welcome to the sixth video in the series ‘Introduction to Algebraic Geometry’. This video introduces the idea of Affine Transformations, with some examples and applications.

This video describes Affine Transformations, especially focusing on Change of origin or Translation, Rotation and Scaling of the Axes. We define Real Affine Transformations with examples.The general form of Real Affine Transformation is given, both explicitly and in matrix form. Then Proves the Reflexivity and Symmetry properties of Affine Transformations.

This series is an invaluable resource for students, educators, and enthusiasts of mathematics. The lecture is designed to foster a deep understanding of algebraic geometry, making it an essential addition to your learning journey.

The instruction is provided by Vineeth Remanan. He is a postgraduate in Physics.

For further exploration and comprehension, lecture notes have been provided at the top of the video description. These notes supplement the video content, offering additional insights and exercises.


Time Stamps:
0:00 Intro
02:31 Change of Origin
13:30 Affine Plane
15:31 An application of Affine Transformation
23:30 Rotation
31:35 Scaling of Axes
38:51 Affine Transformations as Equivalence Relations
39:57 Reflexivity
41:14 Symmetry and Inverse Transformation
48:55 Condition for Inverse
55:06 Explicit Form of Inverse Map


Keywords: Algebraic Geometry, Affine Transformations, Mathematics, Translation, Rotation, Equivalence relation, Lecture Notes, Mathematics Education, Vineeth Remanan, Learning Journey, Class 12, New Video, Algebra Informative.


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