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1、线性代数英文专业词汇序号-Mr央文中文1Lin ear Algebra线性代数2determ inant行列式3row行4colu mn列5eleme nt=1=儿糸6diag onal对角线7prin cipal diag ona主对角线8auxiliary diag onal次对角线9tran sposed determ inant转置行列式10tria ngular determ inants三角行列式11the nu mber of inv ersi ons逆序数12eve n permutati on奇排列13odd permutati on偶排列14parity奇偶性15in te
2、rcha nge互换16absolute value绝对值17ide ntity恒等式18n-o rder determi nan tsn阶行列式19evaluati on of determ inant行列式的求值20Laplace ' s expansion theorem拉普拉斯展开定理21cofactor余子式22Algebra cofactor代数余子式23the Van derm onde determ inant范德蒙行列式24bordered determ inant加边行列式25reduct ion of the order of a determ inant降阶法2
3、6method of Recursi on relati on递推法27in ducti on归纳法28Cramer's rule克莱姆法则29matrix矩阵30recta ngular矩形的31the zero matrix零矩阵32the identity matrix单位矩阵33symmetric对称的序号-Mr央文中文34skew-symmetric反对称的35commutative law交换律36square Matrix方阵37a matrix of order m Xh矩阵m X38the determ inant of matrix A方阵A的行列式39operat
4、i ons on Matrices矩阵的运算40a tran sposed matrix转置矩阵41an in verse matrix逆矩阵42an con jugate matrix共轭矩阵43an diago nal matrix对角矩阵44an adjoint matrix伴随矩阵45sin gular matrix奇异矩阵46nonsin gular matrix非奇异矩阵47eleme ntary tran sformati ons初等变换48vectors向量49comp onents分量50lin early comb in ati on线性组合51space of arith
5、metical vectors向量空间52subspace子空间53dime nsion维54basis基55canoni cal basis规范基56coord in ates坐标57decompositi on分解58tran sformatio n matrix过渡矩阵59lin early in depe ndent线性无关60lin early depe ndent线性相关61the minor of the kth orderk阶子式62rank of a Matrix矩阵的秩63row vectors行向量64colu mn vectors列向量65the maximal li
6、nearly in depe ndent subsystem最大线性无关组66Euclidea n space欧几里德空间67Un itary space酉空间序号-Mr央文中文68systems of lin ear equati ons线性方程组69elim in atio n method消元法70homoge nous齐次的71non homoge nous非齐次的72equivale nt等价的73comp onen t-wise分式74n ecessary and sufficie nt con diti on充要条件75in compatiable无解的76unique solu
7、ti on唯一解77the matrix of the coefficie nts系数矩阵78augme nted matrix增广矩阵79gen eral soluti on通解80particular soluti on特解81trivial soluti on零解82non trivial soluti on非零解83the fun dame ntal system of soluti ons基础解糸84eige nv alue特征值85eige nv ector特征向量86characteristic polyno mial特征多项式87characteristic equati on
8、特征方程88scalar product内积89no rmed vector单位向量90orthog onal正交的91ortho gon alizati on正交化92the Gram-Schmidt process止交化过程93reducing a matrix to the diagonal form对角化矩阵94ortho no rmal basis标准正交基95orthog onal tran sformati on正交变换96lin ear tran sformati on线性变换97quadratic forms二次型98canoni cal form标准型99the canoni cal form of a quadratic form二次型的标准型100the method of separat ing perfect squares配完全平方法101the sec on d-order curve二次曲线102coord in ate tran sformati on坐标变换