The Least-Squares Solutions of Inverse Problems for Symmetric Orthogonal Anti-Symmetric Matrices

In this paper, the inverse problem of matrices is discussed, by applying spectral resolution and singular values decomposition of matrix, the solutions and least-squares solutions of some inverse problem of matrices are considered. We also study necessary and sufficient conditions for the existence of the solution of this inverse problem of matrices. We also derive the general forms of this solutions. We also obtain the least-squares solutions of this inverse problem of matrices