本章主要内容简介 1.主要介绍n维向量(vector)、向量组(vector set)的线性组合、向 量的线性表示、向量组的线性相关与线性无关、向量组的极 大线性无关组、向量组的秩、向量组的等价等概念。 2.介绍向量组线性相关(linearly dependent)的性质。矩阵的秩与 向量组的秩的关系,用矩阵的初等变换求向量组的秩和极大无关组。 3.用向量组的性质分析线性方程组的结构 4.向量空间、子空间的概念,向量空间的基(basis)和维数(dimension)

Basie cCoucept Boolean algebra (Logic algebra) is closure mathematical system that defines a series of logic operation (and, or, not) performed on set k of variables (a, b,...) which can only have two values of 0 or 1

Positional Number System Number system use positional notation to represent value. The position of the character(numeral) in a character string (collection of possible numerals) indicate value as well as the character itself. Radix (base) is the number of numeral characters in the character set of positional number system. Position Weiaht is a constant that represents the value of a position. Different position has different weight. It is the integer power of radix

These notes essentially tie up a few loose ends in Lecture 8; in particular, I exhibit examples of inefficiencies in first- and second-price auctions. I would also like to briefly comment on Questions 1 and 2 in Problem Set 2

Recall the following definitions: in any model M=(Q, (Ti, ai, piie), Ri is the event Player i is rational\;R=nieN Ri. Also, Bi(E) is the event \Player i is certain that E is true\ and B(E)=neN Bi(E). This is as in Lecture

Consider an interdependent-values auction with two bidders, each of whom observes an i.i.d

From or:226.1.227.1.229.1.237.1.243.1 For 243.1, also prove that the reputational equilibrium is sequential