Rank Nullity Theorem











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Proof of the Rank-Nullity Theorem, one of the cornerstones of linear algebra. Intuitively, it says that the rank and the nullity of a linear transformation are related: the more vectors T sends to 0, the smaller its range. The proof is especially elegant and uses important concepts in linear algebra, like basis extension, range, and linear independence. Enjoy! • Check out my Linear Transformations Playlist:    • Linear Transformations   • Subscribe to my channel:    / drpeyam  

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