Main page  Syllabus 

A handout on logical notation and formulas, sets, and proofs that don't require linear algebra material is available here.
Due Wednesday, March 7 

Chapter 15 exercises #4, 7*, 12 (a only), 13 (for 12a only), 18 (p. 302304). * In #7, Bessel's inequality, the subscript i needs to be moved from B to A. In Parseval's identity, you must make the additional assumption that the A_i form an orthonormal basis for V (this is not needed for Bessel's inequality). 
Due Wednesday, February 29 
Chapter 13 exercises #8, 9 (p. 225226); Chapter 14 exercises #6 (a,b only), 13, 28 (m = 2 only), 32 (p 261265). 
Due Wednesday, February 22 
Chapter 10 exercises #19, 33 (see 31 for terminology) (p. 154155), Chapter 11 exercises #6*, 8, 16 (p. 179181), and the problems below.
* For #6, some notes: the dimension of V and W need not be equal, and the general matrix form is intended to include the cases of no 1s and of 1s all the way to the bottom or right edge of the matrix. 
Due Wednesday, February 8 
Chapter 10 exercises #1 (parts 3 and 4 only), 2 (FG only), 3, 7, 15 (p. 151153). 
Due Wednesday, February 1 
Chapter 8 exercises #2, 6, 11, 18, 24, 26* (p. 109112). * In #26, assume S is a linearly independent subset of V. 
Due Wednesday, January 25 
Chapter 6 exercises #4, 5 (for 4 only), 8, 10, 22 (p. 7274). Notes: in #10, the second sentence of the hint should begin "show that the result spans S+T." For #22, Fun(S, V) is defined in Chp 3 exercise #10 on p 31. I suggest looking at Chapter 7 exercise #10 (p 83) but you do not need to write it up for submission. 
Due Wednesday, January 18 
Chapter 4 exercises #4, 11, 13, 16, 27 (p. 4244). Chapter 5 exercises #9, 17, 21* (p 5455). * For #21, show the result for 3 vectors in R^{2} instead of 4 vectors in R^{3}. 
Due Wednesday, January 11 
Chapter 2 exercises #7, 9, 10, and 12 (p. 2223), and the exercises below.

Last modified 6 Mar 2012.