Source: wikibot/matrix-congruence
= Matrix congruence
{wiki=Matrix_congruence}
Matrix congruence is a concept in linear algebra that relates to two matrices being similar in a specific way through the use of a non-singular matrix. Specifically, two square matrices \\( A \\) and \\( B \\) are said to be congruent if there exists a non-singular matrix \\( P \\) such that: \\\[ A = P^T B P \\\] Here, \\( P^T \\) denotes the transpose of the matrix \\( P \\).