! SPRING 2008

SPRING 2011

Math 215: Linear Algebra, Section 2.

Homework:

Homework 1 - due 1/19 by 4pm in class or in math108.
Section 1.1: 1, 3, 5, 9, 11*, 13*, 15*,17, 21, 25, 27, 29; Section 1.2: 1, 3*, 5, 15, 17, 19, 23, 25, 29, 31.
For problems marked with *, double check your answer with MATLAB. Include a print out of your code on MATLAB. At this point, all you need is to set up matrices and generate row and reduced row echelon forms.
Homework 2 - due 1/21
Section 1.2: 9*, 11*; Section 1.3: 1*, 5, 9, 11*.
Homework 3 - due 1/24
Section 1.3: 7, 13*, 15, 17, 21; Section 1.4: 1, 3, 5, 7, 13*, 39*.
* Use matlab to do row reduction. I want you to obtain the RREF quickly and interprete the result logically.
Homework 4 - due 1/26
Section 1.4: 9, 11*, 15, 17*, 21*, 23, 25, 31.
*Use matlab to do row reduction, instead of by hand. For solving linear system, do not use matlab function to solve the system. Matlab is only doing the row reduction that you have to otherwise do by hand without a program. You still need to know the theory in how to go about solving the problem. Using a linear algebra solver does not demonstrate your understanding in how to solve the problem.
Homework 5 - due 1/28
Section 1.4: Prove statement (b) of Theorem 5 on page 45; Section 1.5: 1, 3, 7, 11 (for 7, 11, note the questions did not say A is the given matrix), 27, 33, 39 (this is simple but a good start to practice proof writing).
Homework 6 - due 2/1
Section 1.5: 13, 15, 17, 19, 21, 23; Section 1.7: 1, 3, 5, 7, 9, 11, 15, 19, 23, 27, 33, 37.
You can use matlab for reduction to RREF. Explain all reasonings and attach matlab code and result. Think of matlab as saving you time doing row reduction. IT DOES NOT SOLVE THE PROBLEM FOR YOU. You still need to present all reasoning involved in solving the problem. Although many problems in section 1.7 can be done through RREF, you can have more elegant solutions by using the theorems we discussed in class.
Homework 7 - due 2/2
Section 1.8: 1, 7, 15, 21, 27, 31, 33.
Homework 8 - due 2/4
Section 1.8: 3, 11, 31; Section 1.9: 1, 3, 5, 7, 13, 15, 19, 21, 33.
Homework 9 - due 2/7
Section 1.9: 25, 27, 35.
Assignment 2/9
Section 2.1: 1, 3, 5, 7, 11, 13, 25, 29.
Assignment 2/11
Section 2.1: 15; Section 2.2: 13, 15, 19.
Homework 10 - due 2/18 in class
Assignment 2/14
Section 2.2: 1, 3, 7, 29, 31, 35.
Assignment 2/16
Section 2.3: 3, 5, 7, 11, 13, 19, 21, 23.
Assignment 2/18
Section 2.3: 33; Section 3.1: 1, 3, 9, 13, 15, 19, 21, 23, 33, 34, 35, 37.
Homework 11 - due 2/25 in class
Assignment 2/21
Section 3.2: 5, 7, 9, 15, 17, 19, 21.
Assignment 2/23
Section 3.2: 25, 27, 33, 39.
Homework 12 - due 3/4 in class
Assignment 2/28
Section 4.1: 1, 3, 5, 7, 11, 13, 15, 17, 21.
Assignment 3/2
Section 4.2: 1, 3, 5.
Assignment 3/4
Section 4.2: 7, 9, 11, 15, 17, 23.
Homework 13 - due 3/11 in class
Assignment 3/7
Section 4.2: 31, 33; Section 4.3: 31, 32, 33.
Assignmet 3/9
Section 4.3: 1, 3, 5, 7, 9, 23, 24.
Assignmnet 3/11
Section 4.3: 13, 15, 19, 21; Section 4.4: 1, 3, 5, 7, 17.
Assignment 3/25
Section 4.4: 9, 11, 13, 15, 19, 23, 25, 27, 31, 33.
Assignment 3/30
Section 4.5: 1, 5, 11, 13, 15, 19, 21, 29; Section 5.4: 1, 3, 5, 7, 9.
Assignment 4/1
Section 5.1: 1, 3, 5, 7, 9, 11, 15,17, 19, 23, 25, 27.
Homework 14 - due 4/8 in class
Assignment 4/4
Section 5.2: 1, 3, 9, 11, 15, 17, 19, 21, 25.
Assignment 4/6
Section 5.3: 5, 21, 23, 25, 27.
Assignment 4/8
Section 5.3: 1, 3, 11, 13, 17; Section 5.4: 13, 15, 17, 19, 21, 23.
Homework 15 - due 4/15 in class
Assignment 4/11
Section 5.6: 1, 5, 7, 9, 11, 13; Section 5.7: 1,3 5.
Assignment 4/13
Section 6.1: 1, 3, 5, 7, 9, 13, 15, 17, 27.
Assignment 4/15
Section 6.1: 19, 25, 29, 31; Section 6.2: 1, 3, 5.
Homework 16 - due 4/22 in class (DO NOT USE ORTHOGONAL PROJECTIONS)
Assignment 4/18
Section 6.2: 9, 13, 15, 21, 23, 27, 29.
Assignment 4/20
Section 6.3: 1, 3, 5, 7, 11, 13, 15.
Assignment 4/22
Section 6.4: 1, 3, 5, 7, 9, 11, 17.
Assignment 4/29
Section 6.5: 1, 3, 5, 7, 9, 11, 17; Section 5.5: 1, 3, 5, 13, 15.

Contact Info:

Department of Mathematics,
University of Arizona,
617 N. Santa Rita Ave,
Tucson, AZ 85721.

Email: yeap at math.arizona.edu