線性代數(shù)英文詞匯

1、英漢詞匯（按英文字母排序）Aadjon t(adjugate) of matrix A A的伴隨矩陣 二augme nted matrix A 的增廣矩陣 .-1Bblock diago nal matrix塊對角矩陣block matrix 塊矩陣basic soluti on set 基礎解系CCauchy-Schwarz in equality柯西-許瓦茲不等式characteristic equati on特征方程characteristic polyno mial特征多項式coffcie nt matrix系數(shù)矩陣cofactor 代數(shù)余子式cofactor expa nsion代數(shù)

2、余子式展開colu mn vector 歹 U向量commuti ng matrices 交換矩陣con siste nt li near system相容線性方程組Cramers rule 克萊姆法則Cross- product term 交叉項Determinant 行列式Diagonal entries 對角元素Diagonal matrix 對角矩陣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 basi

3、s 特征向量的基elementary matrix 初等矩陣elementary row operations 行初等變換Ffull rank 滿秩fundermental set of solution基礎解系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in defi nit quatratic form不定二次型

4、infin ite-dime nsional space無限維空間逆矩陣JKLlin ear comb in ati onlin early depe ndentlin early in depe ndentlin ear tran sformatio n lower tria ngular matrixMmain diagonal of matrix Amatrix 矩陣線性組合線性相關線性無關線性變換下三角形矩陣矩陣的主對角inner product 內(nèi)積 in verse of matrix Ain defi nit quatratic form不定二次型in defi nit quat

5、ratic form不定二次型非奇異矩陣非平凡解向量V的范數(shù)n egative defi nite quaratic form負定二次型n egative semidefi nite quadratic form半負定二次型nonhomogeneous equations 非齊次線性方程組non sigular matrixnon trivial soluti on norm of vector Vnormalizing vector V 規(guī)范化向量Oorthogonal basis 正交基orthogonal complemen t 正交補orthogonal decomposition 正

6、交分解orthogonally diagonalizable matrix 矩陣的正交對角化orthogonal matrix 正交矩陣orthogonal 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positive definite matrix正定矩陣positive definite quatratic form正定二次型positive semidefinite matrix 半正定矩陣positive semidefinite quadratic form 半正定二次型 Q

7、quatratic form 二次型Rrank of matrix A 矩陣 A 的秩 r(A )reduced echelon matrix 最簡梯形陣row vector 行向量v y in Vv y in vset spanned by 由向量所生成similar matrices 相似矩陣similarity tran sformati on相似變換sin gular matrix奇異矩陣soluti on set 解集合sta ndard basis 標準基standard matrix標準矩陣 Isubmatrix 子矩陣subspace子空間symmetric matrix 對稱矩陣Ttrace of matrix A 矩陣 A 的跡 tr (A )transpose of A矩陣 A 的轉秩tria ngle in equlity三角不等式trivial soluti on平凡解軍unit vector 單位向量u