1、线性代数英文专业词汇序号 英 文 中 文1 Linear Algebra 线性代数2 determinant 行列式3 row 行4 column 列5 element 元素6 diagonal 对角线7 principal diagona 主对角线8 auxiliary diagonal 次对角线9 transposed determinant 转置行列式10 triangular determinants 三角行列式11 the number of inversions 逆序数12 even permutation 奇排列13 odd permutation 偶排列14 parity 奇偶
2、性15 interchange 互换16 absolute value 绝对值17 identity 恒等式18 n-order determinants n 阶行列式19 evaluation of determinant 行列式的求值20 Laplaces expansion theorem 拉普拉斯展开定理21 cofactor 余子式22 Algebra cofactor 代数余子式23 the Vandermonde determinant 范德蒙行列式24 bordered determinant 加边行列式25 reduction of the order of a determ
3、inant 降阶法26 method of Recursion relation 递推法27 induction 归纳法28 Cramers rule 克莱姆法则29 matrix 矩阵30 rectangular 矩形的31 the zero matrix 零矩阵32 the identity matrix 单位矩阵33 symmetric 对称的序号 英 文 中 文34 skew-symmetric 反对称的35 commutative law 交换律36 square Matrix 方阵37 a matrix of order mn 矩阵 mn38 the determinant of
4、matrix A 方阵 A 的行列式39 operations on Matrices 矩阵的运算40 a transposed matrix 转置矩阵41 an inverse matrix 逆矩阵42 an conjugate matrix 共轭矩阵43 an diagonal matrix 对角矩阵44 an adjoint matrix 伴随矩阵45 singular matrix 奇异矩阵46 nonsingular matrix 非奇异矩阵47 elementary transformations 初等变换48 vectors 向量49 components 分量50 linear
5、ly combination 线性组合51 space of arithmetical vectors 向量空间52 subspace 子空间53 dimension 维54 basis 基55 canonical basis 规范基56 coordinates 坐标57 decomposition 分解58 transformation matrix 过渡矩阵59 linearly independent 线性无关60 linearly dependent 线性相关61 the minor of the kth order k 阶子式62 rank of a Matrix 矩阵的秩63 ro
6、w vectors 行向量64 column vectors 列向量65 the maximal linearly independent subsystem 最大线性无关组66 Euclidean space 欧几里德空间67 Unitary space 酉空间序号 英 文 中 文68 systems of linear equations 线性方程组69 elimination method 消元法70 homogenous 齐次的71 nonhomogenous 非齐次的72 equivalent 等价的73 component-wise 分式74 necessary and suffi
7、cient condition 充要条件75 incompatiable 无解的76 unique solution 唯一解77 the matrix of the coefficients 系数矩阵78 augmented matrix 增广矩阵79 general solution 通解80 particular solution 特解81 trivial solution 零解82 nontrivial solution 非零解83 the fundamental system of solutions 基础解系84 eigenvalue 特征值85 eigenvector 特征向量86
8、 characteristic polynomial 特征多项式87 characteristic equation 特征方程88 scalar product 内积89 normed vector 单位向量90 orthogonal 正交的91 orthogonalization 正交化92 the Gram-Schmidt process 正交化过程93 reducing a matrix to the diagonal form 对角化矩阵94 orthonormal basis 标准正交基95 orthogonal transformation 正交变换96 linear transformation 线性变换97 quadratic forms 二次型98 canonical form 标准型99 the canonical form of a quadratic form 二次型的标准型100 the method of separating perfect squares 配完全平方法101 the second-order curve 二次曲线102 coordinate transformation 坐标变换
