Invertible matrix: We ended the previous

We ended the previous section by stating that invertible matrices are important. Since they are, in this section we study invertible matrices in two ways. First, we look at ways to tell whether or not a matrix is invertible, and second, we study properties of invertible matrices (that is, how they interact with other matrix operations). Learn what is an invertible matrix, how to find its inverse, and its applications in various fields. Explore the properties, theorems, and methods of invertible matrices with examples and proofs. In linear algebra, an invertible matrix (non-singular, non-degenerate or regular) is a square matrix that has an inverse. In other words, if a matrix is invertible, it can be multiplied by another matrix to yield the identity matrix. Invertible matrices are the same size as their inverse. Learn what makes a matrix invertible, how to check its determinant, and see stepwise examples. Get exam-ready with solved problems and quick tips on invertible matrices.