线性代数英文词汇(汇编)

1、精品文档英汉词汇（按英文字母排序）Aadjont(adjugate) of matrix A A的伴随矩阵augmented matrix A的增广矩阵Bblock diagonal matrix块对角矩阵block matrix块矩阵basic solution set基础解系CCauchy-Schwarz inequality柯西 -许瓦兹不等式characteristic equation特征方程characteristic polynomial特征多项式coffcient matrix系数矩阵cofactor 代数余子式cofactor expansion代数余子式展开column v

2、ector列向量commuting matrices交换矩阵consistent linear system相容线性方程组Cramer's rule克莱姆法则Cross- product term交叉项D精品文档精品文档Determinant行列式Diagonal entries对角元素Diagonal matrix对角矩阵Dimension of a vector space V向量空间V 的维数Eechelon matrix梯形矩阵eigenspace特征空间eigenvalue特征值eigenvector特征向量eigenvector basis特征向量的基elementary

3、matrix初等矩阵elementary row operations行初等变换Ffull rank满秩fundermental set of solution基础解系Ggrneral solution通解Gram-Schmidt process施密特正交化过程Hhomogeneous linear equations齐次线性方程组Iidentity matrix单位矩阵inconsistent linear system不相容线性方程组indefinite matrix不定矩阵精品文档精品文档indefinit quatratic form不定二次型infinite-dimensional

4、space无限维空间inner product内积inverse of matrix A逆矩阵JKLlinear combination线性组合linearly dependent线性相关linearly independent线性无关linear transformation线性变换lower triangular matrix下三角形矩阵Mmain diagonal of matrix A矩阵的主对角matrix矩阵Nnegative definite quaratic form负定二次型negative semidefinite quadratic form半负定二次型nonhomoge

5、neous equations非齐次线性方程组nonsigular matrix非奇异矩阵nontrivial solution非平凡解norm of vector V向量 V 的范数精品文档精品文档normalizing vector V规范化向量Oorthogonal basis正交基orthogonal complement正交补orthogonal decomposition正交分解orthogonally diagonalizable matrix矩阵的正交对角化orthogonal matrix正交矩阵orthogonal set正交向量组orthonormal basis规范正交

6、基orthonomal set规范正交向量组Ppartitioned matrix分块矩阵positive definite matrix正定矩阵positive definite quatratic form正定二次型positive semidefinite matrix半正定矩阵positive semidefinite quadratic form半正定二次型Qquatratic form二次型Rrank of matrix A矩阵 A 的秩 r(A)reduced echelon matrix最简梯形阵row vector 行向量S精品文档精品文档set spanned by 由向量 所生成similar matrices相似矩阵similarity transformation相似变换singular matrix奇异矩阵solution set解集合standard basis标准基standard matrix标准矩阵Isubmatrix子矩阵subspace 子空间symmetric matrix对称矩阵Ttrace of matrix A矩阵 A 的迹 tr( A )transpose of A矩阵 A 的转秩triangle inequlity三角不等式trivial solution平凡解U精品文档精品文档unit vector单位向量uppe