本文叙述了加权广义逆矩阵的概念。
The concept of weighted generalized inverse matrices is described in this paper.
近年来，矩阵的加权广义逆成了矩阵理论研究的热点，许多学者在这个领域做出了一定的成果，我们也得到了一些有意义的结论。
Recent years, the weighted generalized inverses of matrices become a research hotspot of matrix theory. Many authors made some achievements in this field. We also got some interesting results.
给出了四元数矩阵加权广义逆的表达式，回答了关于四元数矩阵加权（3，4）和（2，4）逆表达式的公开问题。
The expression of the weighted generalized inverse of quaternion matrices are expressed, and the open question on the characterization of the (3,4) and (2,4) inverse are solved.
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