Source: wikibot/invertible-matrix
= Invertible matrix
{wiki=Invertible_matrix}
An **invertible matrix** (also known as a non-singular matrix or non-degenerate matrix) is a square matrix \\( A \\) that has an inverse. This means there exists another matrix \\( B \\) such that: \\\[ AB = BA = I \\\] where \\( I \\) is the identity matrix of the same dimension as \\( A \\). A matrix is invertible if and only if its determinant is non-zero (i.e.