MAS 3114 Homework Assignments
Spring 1999

Homework problems and approximate due dates are listed below. Read the corresponding section of the book before working the problems.

  • Section 1.1: 1,5,7,9,10,13,14,15-27 odd, 28, 33, 34 (due 1/8/99). You should also read the web handout "What is a solution?"
  • Section 1.2: 1-3, 5, 7, 11, 14, 15, 17, 23-27, 31-33. Also read the solution to Practice Problem 1. (due 1/11/99)
  • MATLAB Project 1 (due 1/13/99)
  • Section 1.3: 1,3,5,6,9,11-13,15,19-21,23, 25, 31,32, and Practice Problem 1 (due 1/15/99).
  • Section 1.4: 2-4, 7-9, 12 (check answer!), 13, 16-20, 22-24, 27, 29-33, 35 (due 1/20/99).
  • Section 1.5: 1,2,5,7,10,11,13,16,17,19,21,22,25,27-32,39 (due 1/25/99)
  • Section 1.6: Do the "practice problems" on p. 64, as well as exercises 1-4, 7, 11, 13-25, 27-29, 31-33, 35-40 (due 1/27/99). In 19-24, "Determine by inspection" means that you should be able to do each problem just by looking at it, without pencil, paper, calculator, etc. If you are checking your answers in the back of the book, try to find the typographical error in the answer to #33. (The error is not that "true" should be "false" or vice-versa.)
  • Section 1.7: 1-3, 6-9, 11, 13
  • Section 1.7 continued: 17, 23, 24, 27, 30 (due 2/3/99).
  • Section 1.8: 1-7, 9, 15, 16, 21, 23-28, 35 (due 2/5/99).
  • Section 2.1: 1-5,7,9-12,14-16,19-21, 23,24 (in 23-24 do not assume the matrices are square), 25,29,30 (due 2/8-10/99)
  • Section 2.2: Read the remainder of this section (from Theorem 7 to the end) and do problems 1,4,7,9-11 (note: in #11, the variable X must be an nxp matrix for the equation to make sense) 12-14, 17-19, 22-24, 25, 26 (note: 25 and 26 together prove Theorem 4 on p. 110), 32, 35 (due 2/15/99)
  • MATLAB Project 2 (due 2/17/99)
  • Section 2.3: 1-10, 13-15, 17-23, 26, 27, 29, 30, 33, 36 (due 2/17-19/99)
  • Section 2.4: 1-5,12, 22 (due 2/19/99)
  • Section 2.5: 1, 7, 11, 14, 26 (do these by hand, without a calculator) (due 2/22/99)
  • Section 3.1: 2,3,9,11,25,27,29 (do these by hand, without a calculator). Read the warning at the top of the right-hand column of p. 185 for a certain trick for computing 3x3 determinants. If you have never seen this trick, you are lucky, and whether or not you have seen it before, I recommend that you never use this trick. I have never met a single student who was helped by knowing this trick, and I have known a great many who were harmed by it. (due 2/24/99)
  • Section 3.2: 5,11,15,17,19,21,23,27,28,33-35,39 (do these by hand, without a calculator). (due 2/24/99)
  • NOTE DATE CHANGE FOR SECOND EXAM. NEW DATE IS FRIDAY 2/26/99.
  • Section 3.3 (reassigned): 19, 23, 27, 31 (due 3/3/99)
  • Section 2.8: 1, 3, 7 (see the practice problem on pp. 162-163), 19 (due 3/5/99)
  • Read the handouts Common mistakes using math terminology and What is a proof? (due 3/15/99)
  • Section 4.1: 1-8, 20-22, 23acd, 24abcd, 25-28, 31, 32 (the union of two sets U and V is the set of all elements contained in at least one of U and V) (due 3/15-16/99)
  • Section 4.1 continued: 9-18 (due 3/17/99)
  • Section 4.2: 1, 4, 5, 7-17, 15, 17-21, 23, 24, 27 (due 3/19/99)
  • MATLAB Project 3 (due 3/22/99)
  • Section 4.2 continued: 25, 26, 30-33, 35, 36 (due 3/22/99)
  • Section 4.3: 1-4, 6, 8, 9, 11, 12, 23-25, 30, 31 (due 3/24/99)
  • Section 4.3 continued: 13, 15, 21, 22 (due 3/26/99)
  • Section 4.4: 1-9 odd, 10, 11, 13, 15, 16, 17, 18, 21-25, 27, 29 (due 3/26-29/99)
  • MATLAB Project 4 (due 3/29/99)
  • Section 4.5: 1, 3, 5, 7, 9-11, 13, 15, 17, 21, 23, 27, 28 (due 3/29/99)
  • Section 4.5 continued: 19, 20, 29, 30 (due 3/31/99)
  • Section 4.6: 1,3,5,7,9,11, 13-15, 17-20, 22 (due 3/31/99)
  • BECAUSE OF RELIGIOUS HOLIDAYS, THIRD EXAM IS POSTPONED TO MONDAY 4/5/99. On Friday 4/2/99 we will cover Section 5.1.
  • Section 5.1: 1, 3-6, 9, 11, 13, 16, 17, 21, 22ade (due 4/7-9/99)
  • Section 5.1 continued: 22b, 23 (hint: Theorem 2), 25-27, 29-32 (due 4/9/99)
  • Section 5.2: 1-15 odd, 16-18, 20-22 (due 4/9/99)
  • Section 5.2 continued: 25, 27 (Note: a stochastic matrix is square matrix, all of whose entries are non-negative, for which the entries in each column sum to one. You encountered such matrices in your MATLAB Project 2; the "exchange table" in Table 1 on p. 54 is an example.) (due 4/12/99)
  • Section 5.3: 1,4,5, 7-9, 11, 15, 17, 20-22, 27-30 (due 4/14/99)
  • Section 6.1: Read the material on distance (pp. 372-373, orthogonal complements (pp. 374-375, including Theorem 3), and do problems 2, 6, 8, 9, 12, 15-17, 19, 20, 27-29 (due 4/16/99).
  • Section 6.2: 1, 3, 5, 7,9, 11, 13, 15, 20, 22, 23abce, 24abd (due 4/19/99)
  • Section 6.4: 3, 5, 7, 9, 17ab, 18ab (due 4/19/99)
  • Section 6.3: 1, 4, 5, 11, 13, 15, 21abcd, 22abcd, 23 (due 4/21/99)
  • Section 6.5: Read Examples 1 and 3. Do exercises 3,5,7, 19-22. "Normal equations" are defined at the top of p. 406; "least-squares error" is defined on p. 408 just before Example 3. (due 4/23/99).
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    This page was last modified by D. Groisser on Apr. 19, 1999.