韶关学院学报
韶關學院學報
소관학원학보
Journal of Shaoguan University(Social Science Edition)
2008年
9期
1~5
,共null页
奇异值分解 满秩矩阵 秩亏矩阵
奇異值分解 滿秩矩陣 秩虧矩陣
기이치분해 만질구진 질우구진
singular value decomposition; full rank matrix; rank deficiency matrix
应用矩阵的初等变换、矩阵分解等技巧,给出了任意域上两类矩阵方程AXB=CYD及AXB=C的解法及通解表达式。
應用矩陣的初等變換、矩陣分解等技巧,給齣瞭任意域上兩類矩陣方程AXB=CYD及AXB=C的解法及通解錶達式。
응용구진적초등변환、구진분해등기교,급출료임의역상량류구진방정AXB=CYD급AXB=C적해법급통해표체식。
The set of full rank matrices is proved to be open and dense, using the theory of singular value decomposition. The effect of the rank of a matrihis paper, by using some matrix techniques and elementary operations on matrix equations,we give a condition and expression of general solution of two kinds of matrix equationsAXB=CYD, AXB = C.