A non-singular matrix, also known as an invertible matrix, is a square matrix that has a non-zero determinant. This property means that the matrix can be inverted, allowing for the solution of linear equations represented by the matrix. In simpler terms, if you have a non-singular matrix, you can find another matrix that, when multiplied together, results in the identity matrix. Non-singular matrices are important in various fields, including linear algebra and computer science. They ensure that systems of equations have unique solutions. If a matrix is singular, it means it does not have an inverse, indicating that the system may have no solutions or infinitely many solutions.