Matrix 确认我了解矩阵行列式

基本上，在过去的几周里，我一直试图对矩阵数学有一个理解，在阅读（和重读）许多数学方面的文章和文档后，我认为我已经有了足够的理解，但我只是想确保

我最后给出的定义是：

/*
    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.
*/

请让我知道我的理解有什么漏洞

来源
/余因子（线性代数）和/次因子（线性代数）和/行列式
（最有用的）

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（这可能缺了几页，我有完整的副本）

听起来你理解了决定因素——现在开始写代码吧！尝试使用Cramer法则为3个或更多变量的联立线性方程组编写求解器

既然您将这个问题标记为3dgraphics，那么矩阵和向量乘法可能是下一步研究的好领域。它们在3d图形编程中随处可见