第 1 页线性代数》英文专业词汇第 2 页理21cofactor余子式22Algebracofactor代数余子式23theVandermondedeterminant范德蒙行列式24bordereddeterminant加边行列式25reductionoftheorderofadeterminant降阶法26methodofRecursionrelation递推法27induction归纳法28Cramer'srule克莱姆法则29matrix矩阵30rectangular矩形的31thezeromatrix零矩阵32theidentitymatrix单位矩阵33symmetric对称的序号英文中文34skew-symmetric反对称的35commutativelaw交换律36squareMatrix方阵37amatrixofordermxn矩阵 mxn38thedeterminantofmatrixA方阵 A 的行列式39operationsonMatrices矩阵的运算第 3 页40atransposedmatrix转置矩阵41aninversematrix逆矩阵42anconjugatematrix共轭矩阵43andiagonalmatrix对角矩阵44anadjointmatrix伴随矩阵45singularmatrix奇异矩阵46nonsingularmatrix非奇异矩阵47elementarytransformations初等变换48vectors向量49components分量50linearlycombination线性组合51spaceofarithmeticalvectors向量空间52subspace子空间53dimension维54basis基55canonicalbasis规范基56coordinates坐标57decomposition分解58transformationmatrix过渡矩阵59linearlyindependent线性无关60linearlydependent线性相关61theminorofthekthorderk 阶子式第 4 页62rankofaMatrix矩阵的秩63rowvectors行向量64columnvectors列向量65themaximallinearlyindependentsubsystem最大线性无关组66Euclideanspace欧几里德空间67Unitaryspace酉空间序号英文中文68systemsoflinearequations线性方程组69eliminationmethod消兀法70homogenous齐次的71nonhomogenous非齐次的72equivalent等价的73component-wise分式74necessaryandsufficientcondition充要条件75incompatiable无解的76uniquesolution唯解77thematrixofthecoefficients系数矩阵78augmentedmatrix增广矩阵79generalsolution通解80particularsolution特解第 5 页81trivialsolution零解82nontrivialsolution非零解8384858687888990919293949596979899thefundamentalsystemofsolutionseigenvalueeigenvectorcharacteristicpolynomialcharacteristicequationscalarproductnormedvectororthogonalorthogonalizationtheGram-Schmidtprocessreducingamatrixtothediagonalformorthonormalbasisorthogonaltransformationlineartransformationquadraticformscanonicalformthecanonicalformofaquadraticform基础解系特征值特征向量特征多项式特征方程内积单位向量正交的正交化正交化过程对角化矩阵标准正交基正交变换线性变换二次型标准型二次型的标准型第 6 页100101102themethodofseparatingperfectsquaresthesecond-ordercurvecoordinatetransformation配完全平方法二次曲线坐标变换
