• ON q-k-EP MATRICES
Abstract
The concept of range quaternion k-EP (q-k-EP) matrices is introduced as a special case of quaternion hermitian and generalization of EP matrices. Necessary and sufficient conditions are determined for a matrix to be q-k-EPr (q-k-EP and rank r). As an application, it is shown that the class of all q-k-EP matrices having the same range space form a group under multiplication.
Keywords
Moore-Penrose Inverse, Quaternion matrix, Rank of matrix, Range hermitian k-EP matrices
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