高教学刊
高教學刊
고교학간
Journal of Higher Education
2015年
21期
260-261
,共2页
克莱姆法则%克莱姆法则推论%证明
剋萊姆法則%剋萊姆法則推論%證明
극래모법칙%극래모법칙추론%증명
Cramer's Rule%deduction of Cramer's Rule%proof
克莱姆法则是解线性方程组的根本法则。不管使用什么工具（比如矩阵），最后解决问题仍然是克莱姆法则。同济版《线性代数》在给出推论的必要条件后虽然也指出了条件是充分的，但基于章节的安排，在没有建立线性方程组解的理论的前提下，还不能给出充分条件的证明。为了方便应用，本文给出两种克莱姆法则推论的证明补充。
剋萊姆法則是解線性方程組的根本法則。不管使用什麽工具（比如矩陣），最後解決問題仍然是剋萊姆法則。同濟版《線性代數》在給齣推論的必要條件後雖然也指齣瞭條件是充分的，但基于章節的安排，在沒有建立線性方程組解的理論的前提下，還不能給齣充分條件的證明。為瞭方便應用，本文給齣兩種剋萊姆法則推論的證明補充。
극래모법칙시해선성방정조적근본법칙。불관사용십요공구（비여구진），최후해결문제잉연시극래모법칙。동제판《선성대수》재급출추론적필요조건후수연야지출료조건시충분적，단기우장절적안배，재몰유건립선성방정조해적이론적전제하，환불능급출충분조건적증명。위료방편응용，본문급출량충극래모법칙추론적증명보충。
Cramer's Rule is a fundamental rule for solving linear equations. No matter what tools are used, such as matr, the final solution to the problem is still by Cramer's Rule.《The Linear Algebra》,which published by Tongji University, gives a necessary condition about deduction of the Rule. Due to the arrangement of the chapters, it is just pointed out that the sufficient conditions which hasn't been proved are established. Because the theory of linear e-quations haven't been provided. In this paper, Two kinds of methods are given.
