What is another word for invertible matrix?
Pronunciation: [ɪnvˈɜːtəbə͡l mˈe͡ɪtɹɪks] (IPA) 
An invertible matrix, also known as a non-singular matrix, is a fundamental concept in linear algebra. It refers to a square matrix that possesses an inverse, allowing for cancellation of the matrix in equations. Synonyms for an invertible matrix include non-degenerate matrix, non-singular matrix, and non-zero determinant matrix. These terms emphasize the main characteristic of such a matrix, namely that it is not degenerate, i.e., it does not collapse the dimension of a vector space. An invertible matrix plays a crucial role in solving linear systems of equations, transformation problems, and calculations involving determinants and eigenvectors, making it an essential concept in mathematics.
