()线性代数英文专业词汇

(完整word)线性代数英文专业词汇(完整word)线性代数英文专业词汇《线性代数》英文专业词汇序号英 文中文1LinearAlgebra线性代数2determinant行列式3row行4column列5element元素6diagonal对角线7principaldiagona主对角线8auxiliarydiagonal次对角线9transposeddeterminant转置行列式10triangulardeterminants三角行列式11thenumberofinversions逆序数12evenpermutation奇排列13oddpermutation偶排列14parity奇偶性15interchange互换16absolutevalue绝对值17identity恒等式18n—orderdeterminantsn阶行列式evaluationofdeterminantLaplace'sexpansiontheoremcofactor

行列式的求值拉普拉斯展开定理余子式AlgebracofactortheVandermondedeterminantbordereddeterminant

代数余子式范德蒙行列式加边行列式reductionoftheorderofadeterminant降阶法methodofRecursionrelationinductionCramersrulematrixrectangularthezeromatrixtheidentitymatrixsymmetric序号 英 文skew-symmetriccommutativelawsquareMatrixamatrixoforderthedeterminantofmatrixAoperationsonMatricesatransposedmatrixaninversematrixanconjugatematrixandiagonalmatrix

递推法归纳法克莱姆法则矩阵矩形的零矩阵对称的中 文反对称的交换律方阵方阵A矩阵的运算逆矩阵anadjointmatrixsingularmatrixnonsingularmatrixelementarytransformationsvectorscomponentslinearlycombinationspaceofarithmeticalvectorssubspacedimensionbasiscanonicalbasiscoordinatesdecompositiontransformationmatrixlinearlyindependentlinearlydependenttheminorofthekthorderrankofaMatrixrowvectorscolumnvectorsthe maximal linearly

伴随矩阵奇异矩阵初等变换向量分量线性组合向量空间子空间维基规范基坐标分解过渡矩阵线性无关线性相关k阶子式矩阵的秩行向量列向量subsystem 最大线性无关组6666Euclideanspace欧几里德空间67Unitaryspace酉空间序号 英 文systemsoflinearequationseliminationmethodhomogenousnonhomogenousequivalentcomponent—wisenecessaryandsufficientconditionincompatiableuniquesolutionthematrixofthecoefficientsaugmentedmatrixgeneralsolutionparticularsolutiontrivialsolutionnontrivialsolutionthefundamentalsystemofsolutionseigenvalueeigenvectorcharacteristicpolynomialcharacteristicequation

中 文线性方程组消元法齐次的等价的分式充要条件无解的唯一解通解特解零解非零解特征值特征方程8888scalarproduct内积89normedvector单位向量90orthogonal正交的91orthogonalization正交化92theGram-Schmidtprocess正交化过程93reducingamatrixtothediagonalform94orthonormalbasis标准正交基95orthogonaltransformation正交变换96lineartransformation线性变换97quadraticforms二次型98canonicalform标准型99thecanonicalformofaquadratic