If a symmetrical matrix is positive definite, the determinants of all its minors are also positive . 如果对称矩阵是为正定者，它的所有子式的行列式也都是正的。
The determinant of an array which has as a row a linear combination of two or more other rows is zero . 当一个方阵的某一行是另两行或几行的线性组合时，其行列式为零。
The term "continuant" arises from a relation between this type of determinant and continued fractions . “连行列式”这一名称来自于这种类型的行列式与连分式的相互关系。
Every such determinant is zero, because one row can be made all zeros by adding to it all of the other rows . 每个这种行列式都为零，因其中一行加上全体其它行时，能使该行变成全为零。
A determinant whose only nonzero elements occur in square blocks centered about the principal diagonal is in block-diagonal form . 仅有的非零元素集中于主对角线的方块中的行列式是分块对角形式的。
The second-order determinant that multiplies a given element is found by crossing out the row and column in which that element appears . 乘给定元素的二阶行列式是删去该元素出现的行和列而得到的。
A little judicious guessing should be done about trace versus determinant, and more generally, about logarithm versus exponential . 关于迹与行列式，以及更一般地关于对数与指数的关系，要进行一些审慎合理的猜测。
A determinant in which all elements are zero except the elements of the principal diagonal and the elements immediately above and below this diagonal is called a continuant . 一个行列式除了主对角元素以及紧靠对角线的上面和下面的元素外，所有的元素均为零者叫做连行列式。
Application of a kind of determinant n n matrix on r - field 阶实方阵行列式的应用
An inequality of gram determinant and application 行列式的1个不等式及其应用
