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.