Invertible matrix

For matrices with no inverse and for concept of matrix, see Singular matrix and Matrix.

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.

The inverse of a matrix represents the inverse operation, meaning if you apply a matrix to a particular vector, then apply the matrix's inverse, you get back the original vector.

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