Representations and cramer rules for the solution of a restricted Matrix Equation∗
Yonglin Chen · Linear and Multilinear Algebra · 1993
In this paper we consider the restricted matrix equation where A∊Cm×n B∊Cm×p , and T is a subspace of Cn . We give a necessary and sufficient condition for (3.1) to have a unique solution, and establish several representations and more condensed Cramer rules for the unique solution or the general solution of (3.1). Moreover, we give representations and Cramer rules for important generalized inverses of matrices, and give those for solution of a restricted linear equations and for solution of a general restricted matrix equation . Our results improve and extend the related those obtained in references [1-6, 8, 10, 12].