Turn underlined problems in to the homework boxes in the math
department lobby by 3PM on Wednesday 1/23. Although
only the underlined problems should be turned in, you should do
the others the day they are assigned to prepare for the quizzes
and class discussion the following day. You may work
together and get help from me, tutors, or math friends.
However, the final write-up for the underlined problems must be
your own and not copied. In particular, when you are asked
for examples, you should come up with your own, rather than
turning in an example from the solutions manual or a
friend. Proofs and explanations should be in your own
words. The assignments will be graded based on your
demonstrated understanding of the material, including the
quality of your write-up. A numerical answer by itself, with no
explanation of your reasoning, will normally receive no
credit. Problems from the text labelled [M] should be done
with the aid of the computer or a calculator. On other
problems, you can use your calculator or the computer to check
answers, but you should do the computations by hand. In
this first assignment, you should complete the two [M] problems
in computer lab on Wednesday morning. When you use your
calculator or the computer, you do not need to turn in a
printout, but describe essential steps of the computation and
give their results on your paper.
Monday,
January 21:
Section 1.1: 7, 13, 17, 18, 24, 25, 28, 33
Section 1.2:
4, 11, 14, 18, 21
Also to turn in: Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. What can you say about whether the system is consistent? Does your answer change if it is the augmented matrix of a system that has a pivot position in every row? Explain your answers thoroughly and clearly.
Tuesday,
January 22:
Section 1.3: 7, 9, 11, 15, 17, 22, 24, 28 (do part c in lab on 1/23), 29, 30
Section 1.4:
6, 7, 15, 20, 21, 24, 32, 41(do in lab on
1/23, give all possible deletions of columns )
Section 1.5:
7, 12, 14, 19, 21, 24, 25, 29, 30,
31, 32, 37