1) determinant of any m×n matrix 矩阵的行列式 1. By the use of thedeterminant of any m×n matrix,Cauchy mean value theorem is generalized to any multiple functions. 利用任意一个m×n矩阵的行列式定义,将柯西中值定理推广到任意多个一元函数的情形,并得到了拉格朗日定理的一个几何意义上的推广:对任...
--Let A be an n*n matrix and let M ij denote the (n-1)*(n-1) matrix obtained from A by deleting the row and column containing a ij. We define the cofactor A ij of a ij by A ij=(-1)i+j det(M ij)--det(A) can be expressed as a cofactor expansion using any row or ...
Given a Jordan matrix J, we obtain an explicit formula for the determinant of any matrix T that commutes with it.doi:10.1016/j.laa.2013.10.023Ferrer, JosepMingueza, DavidMontoro, M. EulaliaElsevier Inc.Linear Algebra & Its Applications...
determinant翻译 determinant翻译基本解释 ●determinant：决定因素，行列式
The determinant is characterized by its <xref ref="det-defn-the-defn">defining properties</xref>, since we can compute the determinant of any matrix using row reduction, as in the above <xref ref="det-defn-ref-compute"/>. However, we have not yet proved the existence of a function sat...
matrix . There are six possible permutations of the set of the first three natural numbers. We report them below, together with the number of inversions and their sign (deriving them is left as an exercise - revise the lecture on the sign of a permutation if you find any difficulties): ...
aThe determinant det(A) of a matrix A is non-zero if and only if A is invertible or, yet another equivalent statement, if its rank equals the size of the matrix. If so, the determinant of the inverse matrix is given by 定列式det (A)矩阵A是非零的,如果和,只有当A是可转位的或,另外...
Can I use the row reduction method to find the determinant of any matrix? No, the row reduction method can only be used for square matrices. Non-square matrices do not have a determinant. What is the difference between finding the determinant and using the row reduction me...
a熟悉适应期 適応のためのよく知られた期間[translate] avertlcdl vertlcdl[translate] amaint maint[translate] aFinding solutions by ML involves finding the log-determinant of a matrix. 发现解答由机器语言介入发现日志定列式矩阵。[translate]
set of all matrices n × n over F and J ∈ Mn(F) a Jordan matrix. In this paper, we obtain an explicit formula for the determinant of any matrix that commutes with J, i.e., the determinant of any element T ∈ Z( J), the centralizer of J. Our result can also be extended ...