Category:Definitions/Congruence Transformations

This category contains definitions related to Congruence Transformations.
Related results can be found in Category:Congruence Transformations.

Let $\mathbf A$ and $\mathbf B$ be 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 $\mathbf P$.