Span and Linear Dependency

October 2, 2022

This note is based on Linear Done Right by Sheldon Axler, explaining some aspects that confuse me when reading Sec. 2.1 of the book. I personally don’t own any credit for the proofs showing here. This is just a compilation of better ways(in my personal opinion) to present the content in the book. By following the same nomenclature in the book, we use \(\mathcal{F}\) to represent either \(\mathbb{R}\) or \(\mathbb{C}\).

Please check the full note here