《线性代数》英文专业词汇
序号[***********][***********][**************]31
Linear Algebra determinant row column element diagonal principal diagona auxiliary diagonal transposed determinant triangular determinants the number of inversions even permutation odd permutation parity interchange absolute value identity
n-order determinants evaluation of determinant Laplace’sexpansion theorem cofactor Algebra cofactor
the Vandermonde determinant bordered determinant
reduction of the order of a determinant method of Recursion relation induction Cramer’srule matrix rectangular the zero matrix
英
文
中线性代数行列式行列元素对角线主对角线次对角线转置行列式三角行列式逆序数奇排列偶排列奇偶性互换绝对值恒等式n 阶行列式行列式的求值拉普拉斯展开定理余子式代数余子式范德蒙行列式加边行列式降阶法递推法归纳法克莱姆法则矩阵矩形的零矩阵
文
[***********][***********][***********]5960616263
the identity matrix symmetric skew-symmetric commutative law square Matrix
单位矩阵对称的反对称的交换律方阵m×n矩阵
a matrix of order m ×n the determinant of matrix A operations on Matrices a transposed matrix an inverse matrix an conjugate matrix an diagonal matrix an adjoint matrix singular matrix nonsingular matrix elementary transformations vectors components linearly combination space of arithmetical vectors subspace dimension basis
canonical basis coordinates decomposition transformation matrix linearly independent linearly dependent the minor of the k th order rank of a Matrix row vectors
方阵A 的行列式矩阵的运算转置矩阵逆矩阵共轭矩阵对角矩阵伴随矩阵奇异矩阵非奇异矩阵初等变换向量分量线性组合向量空间子空间维基规范基坐标分解过渡矩阵线性无关线性相关k 阶子式矩阵的秩行向量
[***********][***********][***********]9192939495
column vectors
列向量
the maximal linearly independent subsystem Euclidean space Unitary space
systems of linear equations elimination method homogenous nonhomogenous equivalent component-wise
necessary and sufficient condition incompatiable unique solution
the matrix of the coefficients augmented matrix general solution particular solution trivial solution nontrivial solution
the fundamental system of solutions eigenvalue eigenvector
characteristic polynomial characteristic equation scalar product normed vector orthogonal orthogonalization the Gram-Schmidt process
reducing a matrix to the diagonal form orthonormal basis orthogonal transformation
最大线性无关组欧几里德空间酉空间线性方程组消元法齐次的非齐次的等价的分式充要条件无解的唯一解系数矩阵增广矩阵通解特解零解非零解基础解系特征值特征向量特征多项式特征方程内积单位向量正交的正交化正交化过程对角化矩阵标准正交基正交变换
[**************]02
quadratic forms canonical form
linear transformation
线性变换二次型标准型
the canonical form of a quadratic form the method of separating perfect squares the second-order curve coordinate transformation
二次型的标准型配完全平方法二次曲线坐标变换
《线性代数》英文专业词汇
序号[***********][***********][**************]31
Linear Algebra determinant row column element diagonal principal diagona auxiliary diagonal transposed determinant triangular determinants the number of inversions even permutation odd permutation parity interchange absolute value identity
n-order determinants evaluation of determinant Laplace’sexpansion theorem cofactor Algebra cofactor
the Vandermonde determinant bordered determinant
reduction of the order of a determinant method of Recursion relation induction Cramer’srule matrix rectangular the zero matrix
英
文
中线性代数行列式行列元素对角线主对角线次对角线转置行列式三角行列式逆序数奇排列偶排列奇偶性互换绝对值恒等式n 阶行列式行列式的求值拉普拉斯展开定理余子式代数余子式范德蒙行列式加边行列式降阶法递推法归纳法克莱姆法则矩阵矩形的零矩阵
文
[***********][***********][***********]5960616263
the identity matrix symmetric skew-symmetric commutative law square Matrix
单位矩阵对称的反对称的交换律方阵m×n矩阵
a matrix of order m ×n the determinant of matrix A operations on Matrices a transposed matrix an inverse matrix an conjugate matrix an diagonal matrix an adjoint matrix singular matrix nonsingular matrix elementary transformations vectors components linearly combination space of arithmetical vectors subspace dimension basis
canonical basis coordinates decomposition transformation matrix linearly independent linearly dependent the minor of the k th order rank of a Matrix row vectors
方阵A 的行列式矩阵的运算转置矩阵逆矩阵共轭矩阵对角矩阵伴随矩阵奇异矩阵非奇异矩阵初等变换向量分量线性组合向量空间子空间维基规范基坐标分解过渡矩阵线性无关线性相关k 阶子式矩阵的秩行向量
[***********][***********][***********]9192939495
column vectors
列向量
the maximal linearly independent subsystem Euclidean space Unitary space
systems of linear equations elimination method homogenous nonhomogenous equivalent component-wise
necessary and sufficient condition incompatiable unique solution
the matrix of the coefficients augmented matrix general solution particular solution trivial solution nontrivial solution
the fundamental system of solutions eigenvalue eigenvector
characteristic polynomial characteristic equation scalar product normed vector orthogonal orthogonalization the Gram-Schmidt process
reducing a matrix to the diagonal form orthonormal basis orthogonal transformation
最大线性无关组欧几里德空间酉空间线性方程组消元法齐次的非齐次的等价的分式充要条件无解的唯一解系数矩阵增广矩阵通解特解零解非零解基础解系特征值特征向量特征多项式特征方程内积单位向量正交的正交化正交化过程对角化矩阵标准正交基正交变换
[**************]02
quadratic forms canonical form
linear transformation
线性变换二次型标准型
the canonical form of a quadratic form the method of separating perfect squares the second-order curve coordinate transformation
二次型的标准型配完全平方法二次曲线坐标变换