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基本上我一直試圖開拓矩陣數學在過去的幾個星期,看完後的理解(並重新讀取)許多數學沉重的文章和文件我認爲我有足夠的理解,但我只是想確定!確認我明白行列式
我已經結束了的定義是:
/*
Minor
-----
-A determinant of a sub matrix
-The sub matrix used to calculate a minor can be obtained by removing more then one row/column from the original matrix
-First minors are minors of a sub matrix where only the row and column of a single element have been removed
Cofactor
--------
-The (signed) minor of a single element from a matrix
ie. the minor of element 2,3 is the determinant of the submatrix, of the matrix, defined by removing row 2 and column 3
Determinant
-----------
-1. Choose any single row or column from a Matrix.
2. For each element in the row/column, multiply the value of the element against the First Minor of that element.
3. This result is then multiplied by (-1 raised to the power of the elements row index + its column index) which will give the result of step 2 a sign.
4. You then simply sum all these results to get the determinant (a real number) for the Matrix.
*/
請讓我知道在我的理解任何漏洞的?
來源
http://en.wikipedia.org/Cofactor_(linear_algebra)&/Minor_(linear_algebra)& /行列式 http://easyweb.easynet.co.uk/~mrmeanie/matrix/matrices.htm
http://www.geometrictools.com/Documentation/LaplaceExpansionTheorem.pdf(最有用)
Geometric tools for computer graphics(這可能有缺頁,我有充分的複印件)