"반데몬드 행렬과 행렬식"의 두 판 사이의 차이

수학노트
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*  행렬<br><math>\begin{bmatrix} 1 & \alpha_1 & \alpha_1^2 & \dots & \alpha_1^{n-1}\\ 1 & \alpha_2 & \alpha_2^2 & \dots & \alpha_2^{n-1}\\ 1 & \alpha_3 & \alpha_3^2 & \dots & \alpha_3^{n-1}\\ \vdots & \vdots & \vdots & \ddots &\vdots \\ 1 & \alpha_m & \alpha_m^2 & \dots & \alpha_m^{n-1}\\\end{bmatrix}</math><br>
  
 
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* [[행렬식]]은 다음과 같이 주어짐<br>  <math>\prod_{1\le i<j\le n} (\alpha_j-\alpha_i)</math><br>
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*  행렬식이 교대식이다<br>
  
 
 
 
 
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
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* http://www.google.com/search?hl=en&tbs=tl:1&q=vandermonde+determinant
 
* [[수학사연표 (역사)|수학사연표]]
 
* [[수학사연표 (역사)|수학사연표]]
 
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* [[대칭군 (symmetric group)]]<br>
  
 
 
 
 
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* 단어사전 http://www.google.com/dictionary?langpair=en|ko&q=
 
* 단어사전 http://www.google.com/dictionary?langpair=en|ko&q=
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* http://ko.wikipedia.org/wiki/
 
* http://ko.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/Vandermonde_matrix
 
* http://en.wikipedia.org/wiki/Vandermonde_matrix
* http://en.wikipedia.org/wiki/
 
* http://www.wolframalpha.com/input/?i=
 
* [http://dlmf.nist.gov/ NIST Digital Library of Mathematical Functions]
 
* [http://www.research.att.com/~njas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]<br>
 
** http://www.research.att.com/~njas/sequences/?q=
 
  
 
 
 
 
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* http://www.jstor.org/action/doBasicSearch?Query=
 
* http://www.jstor.org/action/doBasicSearch?Query=
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*  도서내검색<br>
 
*  도서내검색<br>
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*  네이버 뉴스 검색 (키워드 수정)<br>
 
*  네이버 뉴스 검색 (키워드 수정)<br>
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">블로그</h5>
  
 
*  구글 블로그 검색<br>
 
*  구글 블로그 검색<br>

2011년 4월 24일 (일) 09:17 판

이 항목의 스프링노트 원문주소

 

 

개요
  • 행렬
    \(\begin{bmatrix} 1 & \alpha_1 & \alpha_1^2 & \dots & \alpha_1^{n-1}\\ 1 & \alpha_2 & \alpha_2^2 & \dots & \alpha_2^{n-1}\\ 1 & \alpha_3 & \alpha_3^2 & \dots & \alpha_3^{n-1}\\ \vdots & \vdots & \vdots & \ddots &\vdots \\ 1 & \alpha_m & \alpha_m^2 & \dots & \alpha_m^{n-1}\\\end{bmatrix}\)
  • 행렬식은 다음과 같이 주어짐
     \(\prod_{1\le i<j\le n} (\alpha_j-\alpha_i)\)
  • 행렬식이 교대식이다

 

 

재미있는 사실

 

 

 

역사

 

 

 

메모

 

 

관련된 항목들

 

 

수학용어번역

 

 

 

 

 

사전 형태의 자료

 

 

관련논문

 

 

관련도서

 

 

관련기사

 

 

블로그