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diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md index c286736..d21c4dc 100644 --- a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md +++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md @@ -3,28 +3,28 @@ My Github Account : <a href="https://github.com/architsangal">architsangal</a> <br/></br> ## Sub-Topics Covered: -+ Linear Transformations (Linear Maps) ++ The Four Fundamental Subspaces -#### Video 1: Visually understanding linear transformation(using grid) - +#### Video 1: Video 1: Writing System of linear equations in form of Ax=b + -#### Video 2: Linear Transformation when form 1 is given - +#### Video 2: Column Space is same as the image of Linear Transformation + -#### Video 3: Matrix Representation Of Linear Transformation - +#### Video 3: Existance of Solution w.r.t. vector b + -#### Video 4: Understand Linear Transformations visually - +#### Video 4: Null Space (Visually) + -#### Video 5: Uniform Scaling - +#### Video 5: Definition 1 is equivalent to Definition 2 + -#### Fig.1 Horizontal Shear - +#### Video 6: Relation between Row Space and Null Space + -#### Fig.2 Vertical Shear - +#### Fig. 1 Naming of the left null space + -#### Video 6: Rotation by an angle of in anticlockwise direction -
\ No newline at end of file +#### Video 7: Left Null Space(Visually) +
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