FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md


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# Contributer: Archit Sangal
My Github Account : <a href="https://github.com/architsangal">architsangal</a> (https://github.com/architsangal) 
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## Sub-Topics Covered:
+ The Four Fundamental Subspaces

#### Video 1: Writing System of linear equations in form of Ax=b
![GIF1](file11.gif)

#### Video 2: Column Space is same as the image of Linear Transformation
![GIF2](file14.gif)

#### Video 3: Existance of Solution w.r.t. vector b
![GIF3](file17.gif)

#### Video 4: Null Space (Visually)
![GIF4](file12.gif)

#### Video 5: Definition 1 is equivalent to Definition 2
![GIF5](file13.gif)

#### Video 6: Relation between Row Space and Null Space
![GIF6](file16.gif)

#### Fig. 1 Naming of the left null space
![GIF7](file10_Left_Null_Space_pSv8iio_d5Sy9qS.gif)

#### Video 7: Left Null Space(Visually)
![GIF8](file15.gif)