When does rank(ABC) = rank(AB) + rank(BC) - rank(B) hold?

Yongge Tian, George P. H. Styan

Type: Article

Publication Date: 2002-01-01

Citations: 10

DOI: https://doi.org/10.1080/00207390118887

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Locations

International Journal of Mathematical Education in Science and Technology - View

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Works That Cite This (5)

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+ PDF Chat	The Scholarship of Teaching and Learning in Canadian Post-Secondary Mathematics: 2000-2010	2013	Bernard S. Chan Lindi M. Wahl
+	Rank equalities for idempotent matrices with applications	2005	Yongge Tian George P. H. Styan
+	An Algorithmic Approach To Solving B = BCX + YAB Using Quotient Spaces	2019	Alex Taylor
+ PDF Chat	On the Open Problem Related to Rank Equalities for the Sum of Finitely Many Idempotent Matrices and Its Applications	2014	Meixiang Chen Qinghua Chen Qiaoxin Li Yang Zhong-peng
+	Some properties of submatrices in a solution to the matrix equation AXB=C with applications	2009	Yongge Tian

Works Cited by This (5)

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+	How Characterize Equalities for the Moore-Penrose Inverse of a Matrix	2001	Yongge Tian
+	Nonsingularity of the Difference of Two Oblique Projectors	2000	Jürgen Groß Götz Trenkler
+	Equalities and Inequalities for Ranks of Matrices<sup>†</sup>	1974	George Matsaglia George P. H. Styan
+	Rank equalities for idempotent and involutary matrices	2001	Yongge Tian George P. H. Styan
+	Some comments on several matrix inequalities with applications to canonical correlations: Historical background and recent developments	2002	S.W. Drury Shuangzhe Liu Chang-Yu Lu Simo Puntanen George P. H. Styan