定义:对于A,若有B满足AB=BA=E,则称A为可逆矩阵, 且B为A的逆矩阵,记作A-1=B 定理1若A为可逆矩阵,则A的逆矩阵唯一 证设B与C都是A的逆矩阵,则有

Cloning vectors: 克隆载体 to clone a gene in a vector Expression vectors: 表达载体 to express a gene from a vector Integration vectors: 整合载体 to integrate a gene in a genome through a vector Cloning vectors 1 Plasmid vecters 2 Bacteriophage vectors 3 Cosmids & BACs 4 Eukaryotic vectors Cloning vectors: allowing the exogenous DNA to be inserted, stored, and manipulated mainly at DNA level. expression vectors: allowing the exogenous DNA to be inserted, stored, and expressed

A common problem for a biochemical engineer is to be handed a microorganism and be told he has six months to design a plant to produce the new fermentation product. Although this seems to be a formidable task, with the proper approach this task can be reduced to a manageable level. There are many ways to approach the problem of optimization and design of a fermentation process

C++的语句分类 表达式语句：有返回值的语句,如a= =b； 声明语句： 对变量、类、函数等声明，如：int a； 空语句：仅由分号组成，如： ； 函数调用语句:用于调用函数，如：sin(x)； 块语句：多个语句的组合，如： {int a，b=1；a=b*2；coutb) max=a；else max=b； 说明语句：对结构、变量进行定义、描述的语句

第四章4-3线性映射与线性变换 4.3.1线性映射的定义 定义设U,V为数域K上的线性空间,φ:U→V为映射,且满足以下两个条件: i)、(a+)=(a)+(),(a,B∈U); i)、(ka)=k(a),(a∈U,k∈K), 则称为(由U到V的)线性映射, 由数域K上的线性空间U到V的K的线性映射的全体记为Hom(U,V),或简记为 Hom(U,). 定义中的i和)二条件可用下述一条代替 (ka+1)=k(a)+kq(B),(a,B∈U,k,l∈K)

一、选择填空 (x2 1、已知lim-ax-b=0,则( ) x→x+1 (A)a=1,b=1(B)a=-1,b=-1(C)a=-1,b=1(d)a=1b=-1 2、函数f(x)=x(x2-3x+2)(x+2)有()个不可导点。 (A)1(B)2(C)3(D)4 3、设f(x)=x(x-1)(x-2)…(x-2004),则f(0)=() (A)-2003(B)-2004(C)2003(D)2004 4、设f(x)={sin≠0

1.证明a(t)是常向量的充要条件是a(t)=0 2.证明()x()()x()+i()x 4.设向量函数a(t)满足a(t)a'=0,a(t)xa=0,证明a()是常向量。 5.证明F(t)=(2t-1,t2-2,-t2+4t)为共面向量函数

一、选择题 A型题 1.a2.c3.b4.c5.a6.b7.e8.b9.c10.d11.a 12.d13.d14.d15.c16.c17.a18.d19.b20.b21.d 22.D23.D24.E25.D26.C27.b28.d29.c30.a31.c

第四章4-3线性映射与线性变换(续) 4.3.4线性变换的定义与运算 定义线性空间到自身的线性映射称为线性变换,记Hom(V,V)为Endr(V)或End (V)。 例恒同变换 E:V→V, >a. 例投影(射影)设V=V1V2,Va∈V,a=a+a2(a1eV,a2∈V2),定义V到 V的投影P(a)=a1,V到V2的投影P2(a)=a2 定义End(V)中的运算(加法、数乘和乘法) 加法定义为(A+)(a)=A(a)+B(a)(Va∈V) 数乘定义为(kA)(a)=k(A(a)),其中k∈K; 乘法(复合)定义为(AB)(a)=A(B(a)

Key to the Test a (Band Il, June, 2004) Part I Listening Comprehension Section a (10%) 1.D,2.A;3.D,4A;5.B,6.C;7.B;8.C;9A;10.B Section B (5%) 11.A;12.B,13.B;14C;15.D SectionC (5%) 16. phone number 17. information 18 explain quietly 20. make sure