The Pseudoinverse via Generalized Eigenvectors
Maurice Machover, Department of Mathematics and Computer Science, St. John’s College of Liberal Arts and Sciences
The inverse of a matrix is useful to solve a system of linear equations, such as the normal equations in statistics. But if the matrix is not invertible, or if the system is not square, all solutions can still be found using the pseudoinverse. My research involves finding the group-pseudoinverse by using generalized eigenvectors.