The elimination process leading to the eventual formation of an upper triangular matrix is then carried out. 于是进行导致最后形成一个上三角形(UT)矩阵的消去手续。
A substance is through the primary transformation into an upper triangular matrix, the transformation matrix is a unit lower triangular matrix. 实质上是将A通过初等行变换变成一个上三角矩阵,其变换矩阵就是一个单位下三角矩阵。
All the diagonal elements of the matrix are 1 ( the elements are compared to themselves ). Comparisons in only the upper triangular matrix are done; values in the lower triangle matrix are the reciprocal of upper triangular matrix. 矩阵的对角元素全为1(元素与其自身相比)只需要对上三角矩阵进行对比,下三角矩阵的值是上三角值的倒数。
Multiplicative Semigroup Automorphisms of Upper Triangular(UT) Matrices over Semirings 半环上的三角矩阵乘法半群的自同构
Jordan Derivation of Algebra of Strictly upper Triangular Matrices over Commutative Rings 可换环上严格上三角矩阵代数的若当导子