線性代數(shù)英文專業(yè)詞匯

線 性 代 數(shù) 英 文 專 業(yè) 詞 匯ThefinaleditionwasrevisedonDecember14th,2020.《線性代數(shù)》英文專業(yè)詞匯序號英文中文1LinearAlgebra線性代數(shù)2determinant行列式3row行4column列5element元素6diagonal對角線7principaldiagona主對角線8auxiliarydiagonal次對角線9transposeddeterminant轉(zhuǎn)置行列式10triangulardeterminants三角行列式11thenumberofinversions逆序數(shù)12evenpermutation奇排列13oddpermutation偶排列14parity奇偶性15interchange互換16absolutevalue絕對值17identity恒等式n-orderdeterminants n階行列式evaluationofdeterminant 行列式的求值expansiontheorem 拉普拉斯展開定理cofactor 余子式Algebracofactor 代數(shù)余子式theVandermondedeterminant 范德蒙行列式bordereddeterminant 加邊行列式reductionoftheorderofadeterminant methodofRecursionrelation induction rule 克萊姆法則matrix 矩陣rectangular 矩形的thematrix 零矩陣32theidentitymatrix單位矩陣33symmetric對稱的序號英 文中 文34skew-symmetric反對稱的35commutativelaw交換律36squareMatrix方陣37amatrixoforderm×n矩陣 m×n38thedeterminantofmatrixA方陣 A的行列式39operationsonMatrices矩陣的運算40atransposedmatrix轉(zhuǎn)置矩陣41aninversematrix逆矩陣42anconjugatematrix共軛矩陣43andiagonalmatrix對角矩陣44anadjointmatrix伴隨矩陣45singularmatrix奇異矩陣46nonsingularmatrix非奇異矩陣47elementarytransformations初等變換48vectors向量49components分量50linearlycombination線性組合51spaceofarithmeticalvectors向量空間52subspace子空間53dimension維54basis基55canonicalbasis規(guī)范基56coordinates坐標(biāo)57decomposition分解58transformationmatrix過渡矩陣59linearlyindependent線性無關(guān)60linearlydependent線性相關(guān)theminorofthekthorder k階子式rankofaMatrix 矩陣的秩rowvectors 行向量646564656667columnvectorsthemaximallinearlyindependentsubsystemEuclideanspaceUnitaryspace列向量酉空間序號英 文中文68systemsoflinearequations線性方程組69eliminationmethod消元法70homogenous齊次的71nonhomogenous非齊次的72equivalent等價的73component-wise分式74necessaryandsufficientcondition充要條件75incompatiable無解的76uniquesolution唯一解77thematrixofthecoefficients系數(shù)矩陣78augmentedmatrix增廣矩陣79generalsolution通解80particularsolution特解81trivialsolution零解82nontrivialsolution非零解83thefundamentalsystemofsolutions基礎(chǔ)解系84eigenvalue特征值85eigenvector特征向量86characteristicpolynomial特征多項式87characteristicequation特征方程88scalarproduct內(nèi)積89normedvector單位向量90orthogonal正交的91orthogonalization正交化92theGram-Schmidtprocess正交化過程93reducingamatrixtothediagonalform對角化矩陣94orthonormalbasis標(biāo)準(zhǔn)正交基95orthogonaltransformation正交變換9696979899100101102lineartransformationquadraticformscanonicalformthecanonicalformofa