Category:Orthocomplements
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This category contains results about orthogonality in the context of linear algebra.
Let $S\subseteq V$ be a subset.
We define the orthogonal complement of $S$ (with respect to $\innerprod \cdot \cdot$), written $S^\perp$ as the set of all $v \in V$ which are orthogonal to all $s \in S$.
That is:
- $S^\perp = \set {v \in V : \innerprod v s = 0 \text { for all } s \in S}$
If $S = \set v$ is a singleton, we may write $S^\perp$ as $v^\perp$.
Pages in category "Orthocomplements"
The following 6 pages are in this category, out of 6 total.