線性代數(shù)英文詞匯(匯編)

1、精品文檔英漢詞匯（按英文字母排序）Aadjont(adjugate) of matrix A A的伴隨矩陣augmented matrix A的增廣矩陣Bblock diagonal matrix塊對角矩陣block matrix塊矩陣basic solution set基礎解系CCauchy-Schwarz inequality柯西 -許瓦茲不等式characteristic equation特征方程characteristic polynomial特征多項式coffcient matrix系數(shù)矩陣cofactor 代數(shù)余子式cofactor expansion代數(shù)余子式展開column v

2、ector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D精品文檔精品文檔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 basis特征向量的基elementary

3、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不定矩陣精品文檔精品文檔indefinit quatratic form不定二次型infinite-dimensional

4、space無限維空間inner product內積inverse of matrix A逆矩陣JKLlinear combination線性組合linearly dependent線性相關linearly independent線性無關linear transformation線性變換lower triangular matrix下三角形矩陣Mmain diagonal of matrix A矩陣的主對角matrix矩陣Nnegative definite quaratic form負定二次型negative semidefinite quadratic form半負定二次型nonhomoge

5、neous equations非齊次線性方程組nonsigular matrix非奇異矩陣nontrivial solution非平凡解norm of vector V向量 V 的范數(shù)精品文檔精品文檔normalizing vector V規(guī)范化向量Oorthogonal basis正交基orthogonal complement正交補orthogonal decomposition正交分解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

6、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Qquatratic 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S精品文檔精品文檔set spanned by 由向量 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triangle inequlity三角不等式trivial solution平凡解U精品文檔精品文檔unit vector單位向量uppe