《线性代数》英文专业词汇.doc

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1、线性代数线性代数英文专业词汇英文专业词汇序号英 文 中 文1Linear Algebra线性代数2determinant行列式3row行4column列5element元素6diagonal对角线7principal diagona主对角线8auxiliary diagonal次对角线9transposed determinant转置行列式10triangular determinants三角行列式11the number of inversions逆序数12even permutation奇排列13odd permutation偶排列14parity奇偶性15interchange互换16a

2、bsolute value绝对值17identity恒等式18n-order determinantsn 阶行列式19evaluation of determinant行列式的求值20Laplaces expansion theorem拉普拉斯展开定理21cofactor余子式22Algebra cofactor代数余子式23the Vandermonde determinant范德蒙行列式24bordered determinant加边行列式25reduction of the order of a determinant降阶法26method of Recursion relation递推

3、法27induction归纳法28Cramer s rule克莱姆法则29matrix矩阵30rectangular矩形的31the zero matrix零矩阵32the identity matrix单位矩阵33symmetric对称的序号英 文 中 文34skew-symmetric反对称的35commutative law交换律36square Matrix方阵37a matrix of order mn矩阵 mn38the determinant of matrix A方阵 A 的行列式39operations on Matrices矩阵的运算40a transposed matri

4、x转置矩阵41an inverse matrix逆矩阵42an conjugate matrix共轭矩阵43an diagonal matrix对角矩阵44an adjoint matrix伴随矩阵45singular matrix奇异矩阵46nonsingular matrix非奇异矩阵47elementary transformations初等变换48vectors向量49components分量50linearly combination线性组合51space of arithmetical vectors向量空间52subspace子空间53dimension维54basis基55ca

5、nonical basis规范基56coordinates坐标57decomposition分解58transformation matrix过渡矩阵59linearly independent线性无关60linearly dependent线性相关61the minor of the kth orderk 阶子式62rank of a Matrix矩阵的秩63row vectors行向量64column vectors列向量65the maximal linearly independent subsystem最大线性无关组66Euclidean space欧几里德空间67Unitary s

6、pace酉空间序号英 文 中 文68systems of linear equations线性方程组69elimination method 消元法70homogenous齐次的71nonhomogenous非齐次的72equivalent等价的73component-wise分式74necessary and sufficient condition充要条件75incompatiable无解的76unique solution唯一解77the matrix of the coefficients系数矩阵78augmented matrix增广矩阵79general solution通解80p

7、articular solution特解81trivial solution零解82nontrivial solution非零解83the fundamental system of solutions基础解系84eigenvalue特征值85eigenvector特征向量86characteristic polynomial特征多项式87characteristic equation特征方程88scalar product内积89normed vector单位向量90orthogonal正交的91orthogonalization正交化92the Gram-Schmidt process正交

8、化过程93reducing a matrix to the diagonal form对角化矩阵94orthonormal basis标准正交基95orthogonal transformation正交变换96linear transformation线性变换97quadratic forms二次型98canonical form标准型99the canonical form of a quadratic form二次型的标准型100the method of separating perfect squares配完全平方法101the second-order curve二次曲线102coordinate transformation坐标变换