《线性代数》英文专业词汇序号英文中文
1Linear Algebra线性代2determinant行列3row 4column5element元6diagonal对角7principal diagona主对角8auxiliary diagonal次对角9 transposed determinant转置行列10triangular determinants三角行列11the number of inversions逆序12even permutation奇排13odd permutation偶排14parity奇偶15interchange
互16absolute value绝对17identity恒等18
n-order determinants n 阶行列式
19evaluation of determinant行列式的求20 Laplace 's expansion theorem拉普拉斯展开21 cofactor余子22Algebra cofactor代数余子式23the Vandermonde determinant范德蒙行列24 bordered determinant加边行列25reduction of the order of a determinant降阶26method of Recursion relation递推27induction归纳28 Cramer′s rule克莱姆法29matrix矩30 rectangular矩形31the zero matrix零矩阵
32the identity matrix单位矩33symmetric对称的
序号英文中文
34skew-symmetric反对称35commutative law
交换36square Matrix方37a matrix of order m ×n矩阵m×n
38the determinant of matrix A方阵A 的行39 operations on Matrices矩阵的运40a transposed matrix转置矩41an inverse matrix逆矩42an conjugate matrix共轭矩43an diagonal matrix对角矩44an adjoint matrix伴随矩45singular matrix奇异矩46nonsingular matrix非奇异矩47 elementary transformations初等变48vectors向49components分50linearly combination线性组51space of arithmetical vectors向量空52subspace 子空53dimension54basis55canonical basis规范56coordinates坐57decomposition分58 transformation matrix过渡矩59linearly independent线性无60linearly dependent线性相61the minor of the kth order k 阶子62rank of a Matrix矩阵的63row vectors行向量
64column vectors列向量
65the maximal linearly independent subsystem最大线性无66Euclidean space欧几里德67Unitary space酉空间
序号英文中文
68systems of linear equations线性方程69 elimination method消元70homogenous齐次71 nonhomogenous非齐次72equivalent等价73 component-wise分74necessary and sufficient condition充要条75incompatiable无解76unique solution唯一77the matrix of the coefficients系数矩78augmented matrix增广矩79general solution通80particular solution特81trivial solution零82nontrivial solution非零83the fundamental system of solutions基础解84 eigenvalue特征85eigenvector特征向86 characteristic polynomial特征多项87 characteristic equation特征方88scalar product
内89normed vector单位向90orthogonal正交91orthogonalization正交92the Gram-Schmidt process正交化过93reducing a matrix to the diagonal form对角化矩94orthonormal basis标准正交95orthogonal transformation正交变换
96linear transformation线性97quadratic forms二98canonical form标准型
99the canonical form of a quadratic form二次型的标100the method of separating perfect squares 配完全平101the second-order curve二次102 coordinate transformation坐标变换。