Review Note

Last Update: 09/29/2024 11:02 PM

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Fact 4.11. The basis extension theorem [3, Thm. 5.37] states that every linearly independent set of \(N\) vectors in a finite-dimensional subspace \(S\) can be extended (with \(\dim(S) - N\) additional vectors) to form a {{c1::basis}} of \(S\).

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pg. 4.22

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551_chap4

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