Review Note
Last Update: 09/27/2024 08:38 PM
Current Deck: LinAl_SuperDecks
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Fact 4.3. A set of vectors \(u_1, \ldots, u_N \in \mathcal{V}\) is linearly independent iff the \(N \times N\) Gram matrix \(G\) is {{c1::invertible}}, where the elements of \(G\) are {{c2::all the inner products between vectors in the set:}}
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\[g_{ij} = \langle u_i, u_j \rangle, \, \text{for } i,j \in \{ 1, \ldots, N \}.\]
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pg. 4.15
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