book:chap2:2.5_vector_spaces
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| book:chap2:2.5_vector_spaces [2022/04/01 21:00] – jv | book:chap2:2.5_vector_spaces [2024/11/10 20:52] (current) – jv | ||
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| Line 102: | Line 102: | ||
| </ | </ | ||
| - | <WRAP box round> | + | <WRAP box round> |
| - | To be specific we provide here the sum of two $2\times | + | To be specific we provide here the sum of two $3\times |
| Let | Let | ||
| \begin{align*} | \begin{align*} | ||
| Line 156: | Line 156: | ||
| \odot &: \mathbb{M}^{N\times L} \times \mathbb{M}^{L\times M}\to \mathbb{M}^{N\times M} | \odot &: \mathbb{M}^{N\times L} \times \mathbb{M}^{L\times M}\to \mathbb{M}^{N\times M} | ||
| \\ | \\ | ||
| - | \forall A \in \mathbb{M}^{N\times L}, B \in \times | + | \forall A \in \mathbb{M}^{N\times L}, \: B \in \mathbb{M}^{L\times M} &: |
| A \odot B = C = (c_{ij}) = \left( \sum_{k=1}^L a_{ik} b_{kj} \right) | A \odot B = C = (c_{ij}) = \left( \sum_{k=1}^L a_{ik} b_{kj} \right) | ||
| \end{align*} | \end{align*} | ||
book/chap2/2.5_vector_spaces.1648839642.txt.gz · Last modified: 2022/04/01 21:00 by jv