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 \( P \).
New to topics? Read the docs here!