線性代數(shù)英文詞匯

1、英漢詞匯 （按英文字母排序）adjont(adjugate) of matrix A A 的 伴 隨 矩 陣augmented matrix A 的增廣矩陣Bblock diagonal matrix 塊對(duì)角矩陣block matrix 塊矩陣basic solution set基礎(chǔ)解系Cauchy-Schwarz inequality柯西- 許瓦茲不等式characteristic equation 特征方程characteristic polynomial特征多項(xiàng)式coffcient matrix 系數(shù)矩陣cofactor 代數(shù)余子式cofactor expansion 代數(shù)余子式展開co

2、lumn vector 列向量commuting matrices 交換矩陣consistent linear system 相容線性方程組Cramer's rule 克萊姆法則Cross- product term 交叉項(xiàng)DDeterminant 行列式Diagonal entries 對(duì)角元素Diagonal matrix 對(duì)角矩陣Dimension of a vector space V 向量空間 V 的維數(shù)Eechelon matrix 梯形矩陣eigenspace 特征空間eigenvalue 特征值eigenvector 特征向量eigenvector basis特征向量的

3、基elementary row operations 行初等變換Ffull rank 滿秩fundermental set of solution 基礎(chǔ)解系Ggrneral solution 通解Gram-Schmidt process 施密特正交化過程Hhomogeneous linear equations 齊次線性方程組Iidentity matrix 單位矩陣inconsistent linear system 不相容線性方程組indefinite matrix 不定矩陣indefinit quatratic form 不定二次型無限維空間infinite-dimensional sp

4、ace inner product 內(nèi)積inverse of matrix A 逆矩陣JKLlinear combination線性組合linearly dependent線性相關(guān)linearly independent 線性無關(guān)linear transformation 線性變換lower triangular matrix 下三角形矩陣Mmain diagonal of matrix A 矩陣的主對(duì)角matrix 矩陣Nnegative definite quaratic form 負(fù)定二次型negative semidefinite quadratic form 半負(fù)定二次型nonhom

5、ogeneous equations 非齊次線性方程組positive definite matrix正定矩陣nonsigular matrix 非奇異矩陣nontrivial solution 非平凡解norm of vector V 向量 V 的范數(shù)normalizing vector V 規(guī)范化向量Oorthogonal basis 正交基orthogonal complemen t 正交補(bǔ)orthogonal decomposition 正交分解矩陣的正交對(duì)角化orthogonally diagonalizable matrixorthogonal matrix 正交矩陣orthogo

6、nal set 正交向量組orthonormal basis 規(guī)范正交基orthonomal set 規(guī)范正交向量組Ppartitioned matrix 分塊矩陣正定二次型半正定矩陣positive definite quatratic form positive semidefinite matrix半正定二次型positive semidefinite quadratic formQquatratic form 二次型Rrank of matrix A 矩陣 A 的秩 r(A )reduced echelon matrix 最簡(jiǎn)梯形陣row vector 行向量S 由向量set spanned by 所生成similar matrices 相似矩陣similarity transformation 相似變換singular matrix 奇異矩陣solution set 解集合standard basis 標(biāo)準(zhǔn)基standard matrix 標(biāo)準(zhǔn)矩陣 Isubspace 子空間symmetric matrix 對(duì)稱矩陣Ttrace of matrix A 矩陣 A 的跡 tr ( A ) transpose of A 矩陣 A 的轉(zhuǎn)秩triangle inequlity 三角不等式trivial solution 平凡解Uunit vector 單位向量upper