Category:Congruence Transformations
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This category contains results about Congruence Transformations.
Definitions specific to this category can be found in Definitions/Congruence Transformations.
Let $\mathbf A$ and $\mathbf B$ be square matrices over $\R$.
A congruence transformation is a mapping from $\mathbf A$ and $\mathbf B$ of the form:
- $\mathbf B = \mathbf P^\intercal \mathbf A \mathbf P$
where $\mathbf P^\intercal$ denotes the transpose of $\mathbf P$.
Subcategories
This category has only the following subcategory.
O
- Orthogonal Transformations (empty)