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Definitions from the WebNonsingular MatrixA nonsingular matrix, also known as an invertible matrix or a non-degenerate matrix, is a square matrix that has an inverse matrix. In other words, a nonsingular matrix is a matrix that possesses a unique solution for a given set of equations. Senses:Sense 1: Linear AlgebraIn linear algebra, a nonsingular matrix is a square matrix that has a nonzero determinant, hence allowing the existence of an inverse. Example Sentence: In order to solve the system of linear equations, you need to determine if the coefficient matrix is nonsingular. Sense 2: MathematicsIn mathematics, a nonsingular matrix refers to a square matrix that has full rank, meaning the number of linearly independent columns or rows is equal to the size of the matrix. Example Sentence: The nonsingular matrix can be represented as a product of elementary matrices. Related Products on Amazon: | ||||
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