Math 1b Practical Homework Set 2
Due 10:00 am on TUESDAY, January 22, 2012
Read from the textbook: Ch. 1, Sec. 6; Ch. 2, Sec. 1-2.
(1) From the textbook:
Ch.1 Problems: 6.1 [20 pts], 6.8 [10pts], 6.9 [10pts]
Ch.2 Problems: 2.1(a) [15pts], 2.1(b) [15pts],
This is the syllabus for MA1b Practical Track, as taught in Winter 2013.
Syllabus for MA1b, Practical track: Linear Algebra
Text Book: Sergei Treil, Linear Algebra Done Wrong.
Homework: due 10am on Monday.
WEEK 1 Basic notions: vectors and matrices. Ch.1,
Math 1b Practical Homework Set 4
Due 10:00 am on Monday, February 4, 2013
Read from the textbook: Ch. 2, Sec. 68.
(1) From the textbook:
Ch.2 Problems: 7.15 [20pts], 8.2 [20pts], 8.4 [20pts].
(2) [20pts] Let A1 , A2 be the two matrices in Problem 7.3 of C
Math 1b Practical Homework Set 5
Due 10:00 am on Monday, February , 2013
Read from the textbook: Ch.3, section 16; Ch. 4, section 1.
(1) From the textbook:
Ch. 3 Problems: 5.2 [10 pts], 5.4 (c,d) [20pts].
Ch. 4 Problems: 1.2(a) [20pts], 1.4 (c)[10pts].
(2
1
Math 1b Practical February 25, 2011 revised February 28, 2011
Probability matrices
A probability vector is a nonnegative vector whose coordinates sum to 1. A square
matrix P is called a probability matrix (or a left-stochastic matrix or a column-stochas
Math 1b Practical Problem Set 8
Due 10:00 am on March 11, 2013
Read from the textbook: Ch. 5, sections 57; Ch.6, sections 1,2.
(1) [20 pts] Problems 3.3 and 3.4 of chapter 5:
Given the orthogonal system cfw_u1 , u2 obtained in problem 3.2 of chapter
5 (i
Math 1b Practical Homework Set 3
Due 10:00 am on Monday, January 28, 2013
Read from the textbook: Ch. 2, Sec. 35.
(1) From the textbook:
Ch.2 Problems: 3.1 [20pts], 3.3(a)(b) [20pts], 4.1(a) [20pts], 5.6 [20pts].
(2) [20pts] Let A be the matrix in 4.1(a)
Math 1b Practical March 4, 2010
The Leontief input-output model in economics
We are given a square matrix C of nonnegative real numbers called the consumption
matrix. The rows and columns are indexed by industries 1, 2, . . . , n. The entry cij
represents
Math 1b Practical Homework Set 7
Due 10:00 am on Monday, March 4, 2013
Read from the textbook: Ch.5, Sections 13.
(1) From the textbook:
Ch. 5, sec. 1 :
Problem 1.8 [20pts]. (Assume V = Rn and (x, v ) = xT v .)
Ch. 5, sec. 2:
Problems 2.1[20pts], 2.5[10pt
Math 1b Practical Homework Set 1
Due 10:00 am on Monday, January 14, 2012
Read from the textbook: Chapter 1, Sections 15 and 7.
Optional reading: Chapter1, Section 8.
(1) From the textbook:
Ch.1 Problems: 1.2 [15pts] , 3.1(a)(b)[10pts], 3.3(a)(d)[10pts],
Math 1b Practical Problem Set 6
Due 10:00 am on February 26, 2013
Read from the textbook: Ch. 4, section 2.
Read from notes: Markov chains, Leontief model, Google ranking model.
(1) From the textbook:
Ch. 4 Problems: 2.6 [10pts], 2.9 [30pts].
When ask to