复旦大学：《离散数学 Discrete Mathematics》英文讲稿_02 Special Lattices Boolean Algebra

Sound knowledge of linear algebra and calculus Signals and systems (ECE 351 and ECE 352 or equivalent courses) Basic Matlab programming skillsRequirements

Contents Describe budget constraint –Algebra –Graph Describe changes in budget constraint Government programs and budget constraints Non-linear budget lines

Geometric Evaluation of z-Transforms and dT Frequency Responses First- and Second-Order Systems System Function Algebra and block diagrams Unilateral z-Transforms

Structure Describe budget constraint -Algebra Graph Describe changes in budget constraint Government programs and budget constraints on- -linear budget lines

线性代数( inear algebra)是代数学的一个分支,“代数 这一个词在我国出现较晚,在清代时才传入中国,当时被人们 译成“阿尔热巴拉”,直到1859年,清代著名的数学家、翻 译家李善兰才将它翻译成为“代数学”,一直沿用至今

Chapter 4 Operations in Relational Model 4. 1 An Algebra of relational operations Operation运算,操作 Operator算子 Operand操作数

2.1 Modeling of physical systems Model of system-the relationship between variables in system Differential Equation (mathematic model) (parameter model) · Block Diagram and Transfer

本章主要内容简介 1.向量的内积,长度的概念;向量空间的规范正交基;正交矩阵;正 正定二次型交变换; 2.矩阵的特征值,特征向量; 3.相似矩阵,实对称矩阵正交相似与对角矩阵的方法; 4.二次型及其矩阵表示,二次型秩的概念;二次型的标准形,规范形; 5.配方法化二次型为标准形;二次型与对应矩阵的正定性判别

本章总结 1.通过消元法(Gauss'Method)解线性方程组来引进矩阵的初等变换。 2.利用矩阵的“秩”来讨论线性方程组的解的情况。 3.最后介绍单位矩阵经初等变换得到“初等矩阵